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On Statistical Properties of the Lerch Zeta-Function. II
Lithuanian Mathematical Journal, 2002The Lerch zeta-function with parameters \(01\) by the Dirichlet series \[ L(\lambda,\alpha,s)=\sum_{n=0}^\infty {\exp(2\pi i\lambda)\over (n+\alpha)^s} \] and by analytic continuation elsewhere except for at most one simple pole at \(s=1\). In the present paper the author proves a discrete limit theorem for the Lerch zeta-function \(L(1,\alpha,s ...
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On a certain set of Lerch’s zeta-functions and their derivatives∗
Lithuanian Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Hurwitz Zeta Function and the Lerch Zeta Function
2017In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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A Note on Some Reduction Formulas for the Incomplete Beta Function and the Lerch Transcendent
Mathematics, 2021Juan Luis González-Santander
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Integral and computational representations of the extended Hurwitz–Lerch zeta function
Integral Transforms and Special Functions, 2011H M Srivastava +2 more
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An extended general Hurwitz–Lerch zeta function as a Mathieu(a,λ)-series
Applied Mathematics Letters, 2011Dragana Jankov +2 more
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An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
Integral Transforms and Special Functions, 2007H M Srivastava, Adel A Attiya
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