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Approximate functional equations for the Hurwitz and Lerch zeta-functions
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 2017 As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunkštis, A. Laurinčikas, and J. Steuding (in [1]) proved the Riemann-Siegel type of the approximate functional equation for the Lerch zeta-function $ ζ_L (s, α, λ) = \sum_{n=0}^\infty e^{2πi n
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A joint universality theorem for the riemann zeta-function and lerch zeta-function.
, 2017 A joint universality theorem for the Riemann zeta-function and Lerch zeta ...
Franckevič, Violeta,
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A discrete joint universality theorem for a dirichlet l-function and a lerch zeta-function.
, 2017 A discrete joint universality theorem for a Dirichlet L-function and a Lerch zeta ...
Laukytė, Laura,
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Functional distribution for a collection of Lerch zeta functions
Journal of the Mathematical Society of Japan, 2014 Let \(L(\lambda ,\alpha ,s)=\sum _{n=0}^{\infty }\frac{e^{2\pi {\kern 1pt} i\lambda n{\kern 1pt} } }{(n+\alpha )^{s} } \) be the Lerch zeta function. Motivated by some results of \textit{A. Laurinčikas} [Lith. Math. J. 37, No. 3, 275--280 (1997); translation from Liet. Mat. Rink. 37, No.
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On Generalized Hurwitz-Lerch Zeta Distributions
, 2009 In this paper, we introduce a function which is an extension to the general Hurwitz-Lerch Zeta function. Having defined the incomplete generalized beta type-2 and incomplete generalized gamma functions, some differentiation formulae are established for ...
Jain, Kumkum +2 more
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THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO
As has been pointed out by Chakraborty et al (Seeing the invisible: around generalized Kubert functions. Ann. Univ. Sci. Budapest. Sect. Comput. 47 (2018), 185-195), there have appeared many instances in which only the imaginary part—the odd part—of the ...
KANEMITSU, Shigeru +2 more
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A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties
, 2018 In this paper, we define a (p,v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81–106].
Gauhar Rahman, KS Nisar, Shahid Mubeen
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