Results 1 to 10 of about 108 (79)
Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. [PDF]
Springerplus, 2013 Abstract Motivated essentially by recent works by several authors (see, for example, Bin-Saad [Math J Okayama Univ 49:37–52, 2007] and Katsurada [Publ Inst Math (Beograd) (Nouvelle Ser) 62(76):13–25, 1997], the main objective in this paper is to present a systematic investigation of numerous interesting properties of some families of ...
M HS.
europepmc +6 more sources
New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications [PDF]
International Journal of Analysis, 2014 We derive several new expansion formulas involving an extended multiparameter Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the ...
H. M. Srivastava +2 more
wiley +4 more sources
Two-sided inequalities for the extended Hurwitz–Lerch Zeta function
Computers and Mathematics With Applications, 2011 Recently, Srivastava et al \cite{; ; SSPS}; ; unified and extended several interesting generali-zations of the familiar Hurwitz-Lerch Zeta function $\Phi(z, s, a)$ by introducing a Fox-Wright type generalized hypergeometric function in the kernel.
H M Srivastava +2 more
exaly +3 more sources
An extended general Hurwitz–Lerch zeta function as a Mathieu (a,λ)-series
Applied Mathematics Letters, 2011 AbstractIt is shown that an integral representation for the extension of a general Hurwitz–Lerch zeta function recently obtained by Garg et al. (2008) [5] is a special case of the closed form integral expression for the Mathieu (a,λ)-series given by Pogány (2005) [1].
Jankov, Dragana +2 more
core +7 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. We use Mittag-Leffler and Hurwitz Lerch zeta (HLZ) kernels to produce the Beta function using the convolution tool.
Abdulnabi FF, Al-Janaby HF, Ghanim F.
europepmc +4 more sources
On extended Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Jie Luo +2 more
exaly +3 more sources
INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES
Communications of the Korean Mathematical Society, 2017 Rakesh K Parmar
exaly +3 more sources
Analytic continuation of the extended Hurwitz-Lerch Zeta function
Sarajevo Journal of Mathematics, 2013 The object of this paper is to investigate the analytic continuation and asymptotic expansions for families of the generalized Hurwich-Lerch Zeta functions defined by Srivastava et al. [24]. The result obtained is of general character and includes, as special cases, the same fashion results the Gauss hypergeometric function, the generalized ...
Ram K. Saxena, Tibor K. Pogany
+6 more sources
Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley +1 more source
Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher‐order trigonometric functions and the Lerch zeta function, we explicitly evaluate some weighted sums of the multiple zeta, Hurwitz zeta ...
Yuan He, Zhuoyu Chen, Li Guo
wiley +1 more source