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k-ary Lyndon Words and Necklaces Arising as Rational Arguments of Hurwitz–Lerch Zeta Function and Apostol–Bernoulli Polynomials

Mediterranean Journal of Mathematics, 2017
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Kucukoglu, Irem   +2 more
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AN INTEGRAL REPRESENTATION OF MULTIPLE HURWITZ-LERCH ZETA FUNCTIONS AND GENERALIZED MULTIPLE BERNOULLI NUMBERS

The Quarterly Journal of Mathematics, 2009
A surface integral representation of a multiple generalization of the Hurwitz–Lerch zeta function is given, which is a direct analogue of the well-known contour integral representation of the Riemann zeta function of Hankel's type. From this integral representation, we derive a detailed description of the set of its possible singularities. In addition,
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Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

Journal of Interdisciplinary Mathematics
The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright) hypergeometric function. Some useful and interesting cases of main results are also deliberated.
Sanjay Sharma   +2 more
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A study on the Hurwitz-Lerch zeta function and some identities on the Frobenious-Euler polynomials

AIP Conference Proceedings, 2012
In this work, we define the generalized Frobenious-Euler polynomials with parameters a, b and c. We prove some identities for these polynomials. Also, we have some relations between the Frobenious-Euler polynomials and the generalized Hurwitz-Lerch zeta functions.
openaire   +1 more source

Risk assessment of microplastic particles

Nature Reviews Materials, 2022
Albert A Koelmans   +2 more
exaly  

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello   +2 more
exaly  

Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku   +2 more
exaly  

Certain Integral Representation and Fractional Derivatives Associated to a General Function Related to Hurwitz-Lerch Zeta Function

Panamerican Mathematical Journal
In this paper, some integral representation and fractional derivatives of a general function are established. The general function studied in this paper unifies the Mittag-Leffler function and the Hurwitz-Lerch Zeta function. We have evaluated certain type of integrals involving the Mittag-Leffler function which gives the general function as resultant.
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Covalent Organic Frameworks: Design, Synthesis, and Functions

Chemical Reviews, 2020
Keyu Geng, Ting He, Ruoyang Liu
exaly  

The emerging roles of circRNAs in cancer and oncology

Nature Reviews Clinical Oncology, 2021
Lasse Sommer Kristensen
exaly  

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