Results 41 to 50 of about 114 (80)
Differential Subordination Results for Certain Integrodifferential Operator and Its Applications
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We introduce an integrodifferential operator Js,b(f) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for Js,b(f) are used. Applications in Analytic Number Theory are also obtained which give new results for Hurwitz‐Lerch Zeta function and Polylogarithmic function.
M. A. Kutbi +2 more
wiley +1 more source
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
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
Extended Levett trigonometric series [PDF]
, 2023 An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Reynolds, Robert
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A new class of degenerate Apostol-type Hermite polynomials and applications [PDF]
, 2022 In this article, a new class of the degenerate Apostol–type Hermite polynomials is introduced. Certain algebraic and differential properties of there polynomials are derived.
Ramírez, William +2 more
core +1 more source
On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
wiley +1 more source
The Herglotz–Zagier function, double zeta functions, and values of L-series [PDF]
, 2004 In this paper, we define L-series generalizing the Herglotz–Zagier function (Ber. Verhandl. Sächsischen Akad. Wiss. Leipzig 75 (3–14) (1923) 31, Math. Ann. 213 (1975) 153), and the double zeta function (First European Congress of Mathematics, Vol.
Masri, Riad
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
On sums of products of the extended q-Euler numbers [PDF]
, 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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On Apostol-Type Hermite Degenerated Polynomials [PDF]
, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Stiven Díaz +9 more
core +1 more source