Raina, Ravinder Krishna; Sokół, Janusz; Trąbka-Wiȩcław, Katarzyna On a class of difference operator and its applications to a family of analytic functions. (English) Zbl 1535.30042 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 248-258 (2024). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Bohner, Martin; Çetinkaya, Ayça Uniqueness for an inverse quantum-Dirac problem with given Weyl function. (English) Zbl 1519.39008 Tatra Mt. Math. Publ. 84, 1-18 (2023). MSC: 39A27 39A13 39A12 34B20 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
El-Deeb, Sheza M.; Bulut, Serap Faber polynomial coefficient estimates of bi-univalent functions connected with the \(q\)-convolution. (English) Zbl 1538.30038 Math. Bohem. 148, No. 1, 49-64 (2023). MSC: 30C45 11B65 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Kilicman, Adem; Sinha, Arvind Kumar; Panda, Srikumar On a system of \(q\)-modified Laplace transform and its applications. (English) Zbl 1541.44006 Math. Methods Appl. Sci. 45, No. 2, 793-808 (2022). MSC: 44A10 44A35 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
El-Deeb, Sheza M.; Murugusundaramoorthy, G. Applications on a subclass of \(\beta\)-uniformly starlike functions connected with \(q\)-Borel distribution. (English) Zbl 1504.30011 Asian-Eur. J. Math. 15, No. 8, Article ID 2250158, 20 p. (2022). MSC: 30C45 11B65 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Saleh, Z. M.; Mostafa, A. O. Initial bounds for certain p-valent analytic functions associated with q-p-valent Bernardi integral operator and complex order. (English) Zbl 1513.30083 Electron. J. Math. Anal. Appl. 10, No. 2, 75-82 (2022). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: Link
Seoudy, Tamer M. Certain subclasses of multivalent functions associated with \(q\)-analogue of Mittag Leffler functions. (English) Zbl 1495.30014 Palest. J. Math. 11, No. 2, 187-194 (2022). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: Link
Bairwa, R. K.; Kumar, Ajay; Kumar, Devendra Certain properties of generalized \(q\)-Mittag-Leffler type function and its application in fractional \(q\)-kinetic equation. (English) Zbl 1507.33012 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 219, 13 p. (2022). MSC: 33E12 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Attiya, Adel A.; Seoudy, T. M.; Aouf, M. K.; Albalahi, Abeer M. Certain analytic functions defined by generalized Mittag-Leffler function associated with conic domain. (English) Zbl 1494.30018 J. Funct. Spaces 2022, Article ID 1688741, 10 p. (2022). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Aouf, M. K.; Madian, S. M. Certain classes of analytic functions associated with \(q\)-analogue of \(p\)-valent Cătaş operator. (English) Zbl 07863545 Moroccan J. Pure Appl. Anal. 7, No. 3, 430-447 (2021). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Younus, Awais; Asif, Muhammad; Farhad, Khurram Interval-valued fractional \(q\)-calculus and applications. (English) Zbl 1529.26010 Inf. Sci. 569, 241-263 (2021). MSC: 26A33 39A13 26E50 × Cite Format Result Cite Review PDF Full Text: DOI
Sahni, Nidhi; Kumar, Dinesh; Ayant, F. Y.; Singh, Sunil A transformation involving basic multivariable I-function of Prathima. (English) Zbl 1538.44004 J. Ramanujan Soc. Math. Math. Sci. 8, No. 2, 95-108 (2021). MSC: 44A20 33C99 33C60 × Cite Format Result Cite Review PDF Full Text: Link
MacQuarrie, Lucas; Saad, Nasser; Islam, Md. Shafiqul Asymptotic iteration method for solving Hahn difference equations. (English) Zbl 1494.65103 Adv. Difference Equ. 2021, Paper No. 354, 23 p. (2021). MSC: 65Q10 39A06 39A13 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Golmohammadi, M. H.; Najafzadeh, Sh.; Frotan, M. R. Some properties of certain subclass of meromorphic functions associated with \(q\)-derivative. (English) Zbl 1492.30038 Casp. J. Math. Sci. 10, No. 2, 289-299 (2021). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Haiyan; Selvakumaran, K. A.; Sivasubramanian, S.; Purohit, S. D.; Tang, Huo Subordination problems for a new class of Bazilevič functions associated with \(k\)-symmetric points and fractional \(q\)-calculus operators. (English) Zbl 1484.30037 AIMS Math. 6, No. 8, 8642-8653 (2021). MSC: 30C45 30C80 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Cardoso, J. L. A \(\beta\)-Sturm-Liouville problem associated with the general quantum operator. (English) Zbl 1472.39036 J. Difference Equ. Appl. 27, No. 4, 579-595 (2021). MSC: 39A70 39A12 47B39 34B24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardoso, J. L. Variations around a general quantum operator. (English) Zbl 1476.33015 Ramanujan J. 54, No. 3, 555-569 (2021). Reviewer: István Mező (Nanjing) MSC: 33E20 33E30 40A05 40A10 × Cite Format Result Cite Review PDF Full Text: DOI
Paşaoğlu, Bilender; Tuna, Hüseyin \(q\)-Hamiltonian systems. (English) Zbl 1496.39004 Turk. J. Math. 44, No. 6, 2241-2258 (2020). MSC: 39A13 39A70 34B27 47B25 34L10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Golmohammadi, Mohammad Hassn; Najafzadeh, Shahram; Forutan, Mohammad Reza New subclass of meromorphic functions by the generalization of the \(q\)-derivative operator. (English) Zbl 1499.30252 Facta Univ., Ser. Math. Inf. 35, No. 5, 1461-1474 (2020). MSC: 30D20 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Golmohammadi, Mohammad Hassan; Najafzadeh, Shahram; Foroutan, Mohammad Reza Some properties of certain subclass of meromorphic functions associated with \((p , q)\)-derivative. (English) Zbl 1488.30072 Sahand Commun. Math. Anal. 17, No. 4, 71-84 (2020). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
El-Deeb, Sheza M.; El-Matary, Bassant M. Subclasses of analytic functions with respect to symmetric and conjugate points connected with \(q\)-analogue of the Bessel function. (English) Zbl 1474.30145 Publ. Inst. Math., Nouv. Sér. 108(122), 47-61 (2020). MSC: 30C50 30C45 11B65 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Aouf, M. K.; Mostafa, A. O. Subordination results for analytic functions associated with fractional \(q\)-calculus operators with complex order. (English) Zbl 1463.30034 Afr. Mat. 31, No. 7-8, 1387-1396 (2020). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Hıra, Fatma Dirac system associated with Hahn difference operator. (English) Zbl 1470.39019 Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3481-3497 (2020). Reviewer: Risto Korhonen (Joensuu) MSC: 39A13 39A70 39A12 34B09 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Deeb, Sheza M. Maclaurin coefficient estimates for new subclasses of bi-univalent functions connected with a \(q\)-analogue of Bessel function. (English) Zbl 1474.30074 Abstr. Appl. Anal. 2020, Article ID 8368951, 7 p. (2020). MSC: 30C45 30C50 33C10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Singh, V.; Khan, M. A.; Khan, A. H. Analytical properties of \((q, k)\)-Mittag Leffler function. (English) Zbl 1449.33021 Afr. Mat. 31, No. 3-4, 627-641 (2020). MSC: 33E12 33D05 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Dinesh; Ayant, Frédéric; Tariboon, Jessada On transformation involving basic analogue of multivariable \(H\)-function. (English) Zbl 1440.26008 J. Funct. Spaces 2020, Article ID 2616043, 7 p. (2020). MSC: 26A33 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Allahverdiev, Bilender P.; Tuna, Hüseyin Titchmarsh-Weyl theory for \(q\)-Dirac systems. (English) Zbl 1425.39008 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 2, Article ID 1950010, 14 p. (2019). MSC: 39A13 39A70 34L40 34L10 × Cite Format Result Cite Review PDF Full Text: DOI
Zayed, Hanaa M.; Irmak, Hüseyin Some inequalities in relation with Fekete-Szegö problems specified by the Hadamard products of certain meromorphically analytic functions in the punctured unit disc. (English) Zbl 1438.30109 Afr. Mat. 30, No. 5-6, 715-724 (2019). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI
Zayed, Hanaa M.; Aouf, Mohamed K. Subclasses of analytic functions of complex order associated with \(q\)-Mittag Leffler function. (English) Zbl 1435.30071 J. Egypt. Math. Soc. 26, 278-286 (2018). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Aouf, Mohamed Kamal; Orhan, Halit On the Fekete-Szegö problem for a certain class of meromorphic functions using \(q\)-derivative operator. (English) Zbl 1435.30039 Kyungpook Math. J. 58, No. 2, 307-318 (2018). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelkhaliq, Marwa M.; Hamza, Alaa E. Stability of Hahn difference equations in Banach algebras. (English) Zbl 1439.39008 Commun. Korean Math. Soc. 33, No. 4, 1141-1158 (2018). Reviewer: C. L. Parihar (Indore) MSC: 39A30 39A13 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Abelman, S.; Selvakumaran, K. A.; Rashidi, M. M.; Purohit, S. D. Subordination conditions for a class of non-Bazilevič type defined by using fractional \(q\)-calculus operators. (English) Zbl 1474.30038 Facta Univ., Ser. Math. Inf. 32, No. 2, 255-267 (2017). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin One-dimensional \(q\)-Dirac equation. (English) Zbl 1440.39003 Math. Methods Appl. Sci. 40, No. 18, 7287-7306 (2017). MSC: 39A13 33D15 34L10 34L40 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Mostafa, Adela O.; Aouf, Mohamed K.; Zayed, Hanaa M.; Bulboacă, Teodor Convolution conditions for subclasses of meromorphic functions of complex order associated with basic Bessel functions. (English) Zbl 1376.30009 J. Egypt. Math. Soc. 25, No. 3, 286-290 (2017). MSC: 30C45 30C50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hamza, Alaa E.; Abdelkhaliq, Marwa M. Hahn difference equations in Banach algebras. (English) Zbl 1419.39016 Adv. Difference Equ. 2016, Paper No. 161, 25 p. (2016). MSC: 39A13 39A70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Purohit, S. D.; Raina, R. K. Some classes of analytic and multivalent functions associated with \(q\)-derivative operators. (English) Zbl 1301.30019 Acta Univ. Sapientiae, Math. 6, No. 1, 5-23 (2014). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hamza, Alaa E.; Ahmed, Samah M. Existence and uniqueness of solutions of Hahn difference equations. (English) Zbl 1391.39015 Adv. Difference Equ. 2013, Paper No. 316, 15 p. (2013). MSC: 39A13 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Purohit, Sunil Dutt A new class of multivalently analytic functions associated with fractional \(q\)-calculus operators. (English) Zbl 1412.30071 Fract. Differ. Calc. 2, No. 2, 129-138 (2012). MSC: 30C45 26A33 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Annaby, M. H.; Hassan, H. A.; Mansour, Z. S. Sampling theorems associated with singular \(q\)-Sturm Liouville problems. (English) Zbl 1264.94082 Result. Math. 62, No. 1-2, 121-136 (2012). MSC: 94A20 34B24 × Cite Format Result Cite Review PDF Full Text: DOI
Annaby, M. H.; Hamza, A. E.; Aldwoah, K. A. Hahn difference operator and associated Jackson-Nörlund integrals. (English) Zbl 1266.47054 J. Optim. Theory Appl. 154, No. 1, 133-153 (2012). Reviewer: Do Van Luu (Hanoi) MSC: 47B39 39A70 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Annaby, M. H.; Mansour, Z. S.; Soliman, I. A. \(q\)-Titchmarsh-Weyl theory: series expansion. (English) Zbl 1266.34037 Nagoya Math. J. 205, 67-118 (2012). Reviewer: Petr Necesal (Plzen) MSC: 34B24 34L10 39A12 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Annaby, Mahmoud H.; Mansour, Zeinab S. Asymptotic formulae for eigenvalues and eigenfunctions of \(q\)-Sturm-Liouville problems. (English) Zbl 1219.39003 Math. Nachr. 284, No. 4, 443-470 (2011). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 34L20 33D15 30D05 47B39 39A12 39A70 × Cite Format Result Cite Review PDF Full Text: DOI
Annaby, M. H.; Mansour, Z. S. \(q\)-Taylor and interpolation series for Jackson \(q\)-difference operators. (English) Zbl 1149.40001 J. Math. Anal. Appl. 344, No. 1, 472-483 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 40A30 33D05 39A70 47B39 × Cite Format Result Cite Review PDF Full Text: DOI
Abu Risha, M. H.; Annaby, M. H.; Ismail, M. E. H.; Mansour, Z. S. Linear \(q\)-difference equations. (English) Zbl 1143.39009 Z. Anal. Anwend. 26, No. 4, 481-494 (2007). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Annaby, M. H.; Bustoz, J.; Ismail, M. E. H. On sampling theory and basic Sturm-Liouville systems. (English) Zbl 1128.39014 J. Comput. Appl. Math. 206, No. 1, 73-85 (2007). Reviewer: Pavel Rehak (Brno) MSC: 39A13 34B24 47B39 39A12 39A70 44A15 62D05 × Cite Format Result Cite Review PDF Full Text: DOI