Results 31 to 40 of about 462 (73)
On Multiple Interpolation Functions of the Nörlund‐Type q‐Euler Polynomials
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund‐type q‐Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q‐zeta function. This function interpolates Nörlund‐type q‐Euler polynomials at negative integers.
Mehmet Acikgoz +2 more
wiley +1 more source
Some New Symmetric Identities for the q-Zeta Type Functions
, 2013 The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan +3 more
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A series transformation formula and related polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 23, Page 3849-3866, 2005., 2005 We present a formula that turns power series into series of functions. This formula serves two purposes: first, it helps to evaluate some power series in a closed form; second, it transforms certain power series into asymptotic series. For example, we find the asymptotic expansions for λ > 0 of the incomplete gamma function γ(λ, x) and of the Lerch ...
Khristo N. Boyadzhiev
wiley +1 more source
q-Analogues of the Barnes multiple zeta functions
, 2004 In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex ...
Yamasaki, Yoshinori
core +2 more sources
, 2007 This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière +10 more
core +5 more sources
, 2018 In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P. +2 more
core +1 more source
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +3 more
wiley +1 more source
Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah +1 more
doaj
On Some Families of Integrals Connected to the Hurwitz Zeta Function
, 2015 Expressions for a family of integrals involving the Hurwitz zeta function are established using standard properties of the Fourier ...
Patkowski, Alexander E
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On the Perturbation of Self-Organized Urban Street Networks
, 2019 We investigate urban street networks as a whole within the frameworks of information physics and statistical physics. Urban street networks are envisaged as evolving social systems subject to a Boltzmann-mesoscopic entropy conservation.
Benoit, Jerome, Jabari, Saif Eddin
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