Results 1 to 10 of about 462 (73)
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.
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A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\) [PDF]
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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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
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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
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AIMS Mathematics, 2022 A Prudnikov sum is extended to derive the finite sum of the Hurwitz-Lerch Zeta function in terms of the Hurwitz-Lerch Zeta function. This formula is then used to evaluate a number trigonometric sums and products in terms of other trigonometric functions.
Robert Reynolds, Allan Stauffer
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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
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A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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Extended Moreno-García cosine products
AIMS Mathematics, 2023 The Moreno-García cosine product is extended to evaluate an extensive number of trigonometric products previously published. The products are taken over finite and infinite domains defined in terms of the Hurwitz-Lerch Zeta function, which can be ...
Robert Reynolds
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Analytical properties of the Hurwitz–Lerch zeta function
Advances in Difference Equations, 2020 In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem +3 more
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Extended general Hurwitz--Lerch Zeta function as Mathieu (a, λ) - series
Applied mathematics letters, 2011 It is shown that an integral representation for the extension of general Hurwitz-Lerch Zeta function recently obtained by Garg et al. is a special case of the closed form integral expression for Mathieu (a, λ)-series given by Pogany \cite{; ; ; ; P1}; ; ; ; .
Jankov Maširević, Dragana +1 more
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