Found 45 Documents (Results 1–45)
Some general Hurwitz-Lerch type zeta functions associated with the Srivastava-Daoust multiple hypergeometric functions. (English) Zbl 1516.11085
Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions. (English) Zbl 1496.11036
Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 783-860 (2022).
MSC:
11B68
Solution of fractional kinetic equations involving generalized Hurwitz-Lerch zeta function using Sumudu transform. (English) Zbl 1489.44002
Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. (English) Zbl 07216532
Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 183-228 (2020).
Identities for Dirichlet and Lambert-type series arising from the numbers of a certain special word. (English) Zbl 1499.11152
Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1455.11038
A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials. (English) Zbl 1446.11038
Jackson’s integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions. (English) Zbl 1405.11112
Two closed forms for the Apostol-Bernoulli polynomials. (English) Zbl 1441.11035
Reviewer: Matthew C. Lettington (Cardiff)
An extension of the generalized Hurwitz-Lerch zeta function of two variables. (English) Zbl 1488.11125
Some subordination and superordination results associated with generalized Srivastava-Attiya operator. (English) Zbl 1488.30163
An extension of the extended Hurwitz-Lerch zeta functions of two variables. (English) Zbl 1423.11156
Extension of generalized Hurwitz-Lerch zeta function and associated properties. (English) Zbl 1430.11120
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials. (English) Zbl 1369.05009
On extended Hurwitz-Lerch zeta function. (English) Zbl 1421.11070
MSC:
11M35
On certain class of Euler type integrals involving extended and multiparameter Hurwitz Lerch zeta functions. (English) Zbl 1488.11127
A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1371.11046
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. (English) Zbl 1410.11016
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. (English) Zbl 1375.11022
Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 149-214 (2014).
Reviewer: Matthew C. Lettington (Cardiff)
Some subordination results associated with generalized Srivastava-Attiya operator. (English) Zbl 1380.30018
Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums. (English) Zbl 1371.11056
MSC:
11B68
Remark on the Hurwitz-Lerch zeta function. (English) Zbl 1296.11114
Reviewer: Mehmet Cenkci (Antalya)
Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1292.11043
A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the \(L\)-functions. (English) Zbl 1311.30008
MSC:
30D30
Differential subordination results for certain integrodifferential operator and its applications. (English) Zbl 1256.30008
Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions. (English) Zbl 1252.82021
Integral and computational representations of the extended Hurwitz-Lerch zeta function. (English) Zbl 1242.11065
Reviewer: Roma Kačinskaitė (Siauliai)
A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. (English) Zbl 1207.33015
Geometric properties of generalized polylogarithm. (English) Zbl 1203.33003
Reviewer: Mehdi Hassani (Zanjan)
A family of \(p\)-adic twisted interpolation functions associated with the modified Bernoulli numbers. (English) Zbl 1211.11133
Reviewer: Florin Nicolae (Berlin)
Twisted \(p\)-adic \((h,q)\)-\(L\)-functions. (English) Zbl 1203.11079
Reviewer: Florin Nicolae (Berlin)
Integral representations for the gamma function, the beta function, and the double gamma function. (English) Zbl 1242.33002
Reviewer: Cristinel Mortici (Targoviste)
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