Abstract
We evaluate in closed form a large class of power series where the coefficients are products of special numbers, or products of special numbers and Laguerre polynomials. A number of examples is presented involving harmonic, hyperharmonic, Fibonacci, Lucas, Bernoulli, Euler, and derangement numbers. We also obtain a new convolution formula for the Laguerre polynomials.
Citation
Khristo N. Boyadzhiev. Robert Frontczak. "Hadamard product of series with special numbers." Funct. Approx. Comment. Math. 68 (2) 231 - 247, June 2023. https://doi.org/10.7169/facm/2050
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