Results 1 to 10 of about 108 (94)

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 ONE
By 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]

MethodsX
Special 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, Hiba F. Al-Janaby, Firas Ghanim   +2 more
doaj   +2 more sources

Extended Levett trigonometric series. [PDF]

PLoS ONE
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.
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.
F Ghanim, Maslina Darus
exaly   +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

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
exaly   +2 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

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Mathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Nicoleta Breaz, Ekram E Ali, Rabha El-Ashwah   +2 more
exaly   +3 more sources

A Series Representation for the Hurwitz–Lerch Zeta Function [PDF]

Axioms, 2021
We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds 0003, Allan Stauffer
openaire   +3 more sources