Results 41 to 50 of about 108 (79)
On sums of products of the extended q-Euler numbers
, 2013 In this paper, by expressing the sums of products of the extended q-Euler polynomials in terms of the special values of the alternating multiple Hurwitz q-zeta function at non-positive integers, we obtain a sums of products identity for the extended q ...
Kim, Min-Soo, Lee, Jun Ho
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New results on the q-generalized Bernoulli polynomials of level m [PDF]
, 2019 This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials B[m−1]n(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well ...
Vega, Samuel +3 more
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On off-critical zeros of lattice energies in the neighborhood of the Riemann zeta function
19 pages, 4 figuresThe Riemann zeta function $\zeta(s):= \sum_{n=1}^{\infty} 1/n^s$ can be interpreted as the energy per point of the lattice $\mathbb{Z}$, interacting pairwisely via the Riesz potential $1/r^s$.
Travěnec, Igor +2 more
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Extended Wang sum and associated products. [PDF]
PLoS One, 2022 Reynolds R, Stauffer A.
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Analysis in Fractional Calculus and Asymptotics Related to Zeta Functions
, 2018 This thesis presents results in two apparently disparate mathematical fields which can both be examined -- and even united -- by means of pure analysis. Fractional calculus is the study of differentiation and integration to non-integer orders.
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, 2016 In 1975, a Russian mathematician S. M. Voronin discovered the universality property of the Riemann zeta-function ζ(s), s = σ+it. Roughly speaking, this means that analytic functions from a wide class can be approximated uniformly on compact subsets of ...
Р. Мацайтене +1 more
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A Generating Function Technique for Beatty Sequences and Other Step Sequences
, 2002 Let g(x,n), with x∈R+, be a step function for each n. Assuming certain technical hypotheses, we give a constant α and function f such that ∑∞n=1:g(x,n) can be written in the form α ...
O'Bryant, Kevin
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Values of the polygamma functions at rational arguments
, 2007 Gauss in 1812, in his celebrated memoir on the hypergeometric series, presented a remarkable formula for the psi (or digamma) function, psi(z), at rational arguments z, which can be expressed in terms of elementary functions.
Choi, Junesang, Cvijović, Đurđe
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Joint discrete universality for periodic zeta-functions
, 2019 In the paper, joint universality theorems for periodic zeta functions with multiplicative coefficients and periodic Hurwitz zeta-functions are proved. The main theorem of [11] is extended, and two new joint universality theorems on the approximation of a
Laurinčikas, Antanas
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Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory [PDF]
, 2012 There are two parts to this thesis. The first part deals with obtaining ``modular''-type transformation formulas involving various special functions such as the digamma function, Hurwitz zeta function and modified Bessel functions, through integrals ...
Dixit, Atul
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