Results 1 to 10 of about 107 (92)
Extended Wang sum and associated products. [PDF]
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
doaj +2 more sources
A note on a generalized double series. [PDF]
PLoS ONEBy employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions.
Robert Reynolds
doaj +2 more sources
Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Faten F. Abdulnabi +2 more
doaj +2 more sources
Note on the Hurwitz–Lerch Zeta Function of Two Variables [PDF]
Symmetry, 2020 A number of generalized Hurwitz–Lerch zeta functions have been presented and investigated. In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz–Lerch zeta function such ...
Oguz Yagci +2 more
exaly +2 more sources
Extended Levett trigonometric series. [PDF]
PLoS ONEAn 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.
Robert Reynolds
doaj +2 more sources
Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function
Mathematics, 2021 Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim +3 more
doaj +3 more sources
Some formulas related to Hurwitz–Lerch zeta functions [PDF]
Ramanujan Journal, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Nakamura
exaly +3 more sources
Asymptotic expansions of the Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2004 In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
JOSÉ Lopez, Chelo Ferreira
exaly +3 more sources
Real zeros of Hurwitz–Lerch zeta functions in the interval (−1,0)
Journal of Mathematical Analysis and Applications, 2016 9 ...
Takashi Nakamura
exaly +3 more sources
A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]
Symmetry, 2018 Taking inspiration principally from some of the latest research, we develop a new series representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work.
Asifa Tassaddiq, Tassaddiq Asifa
exaly +2 more sources