Results 11 to 20 of about 5,153,606 (196)
Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new ...
K. AL-Shaqsi
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New integral representations of the polylogarithm function
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006 Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function and the frequently used generalizations of the dilogarithm, the most important among them being the polylogarithm function Li s (
Cvijović, Đurđe
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Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]
Notes on Number Theory and Discrete MathematicsWe consider a polylogarithm expression containing complex arguments, namely 𝓟±(n)=ℜ(Liₙ((1±i)/2)). The central notion of the present paper is to evaluate the real parts of 𝓟±(n) for first four orders, specifically n = 1,2,3, and 4, by constructing ...
Narendra Bhandari
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Dispersion braiding and band knots in plasmonic arrays with broken symmetries. [PDF]
Nanophotonics, 2023 Abstract Periodic arrays can support highly nontrivial modal dispersion, stemming from the interplay between localized resonances of the array elements and distributed resonances supported by the lattice. Recently, intentional defects in the periodicity, i.e., broken in situ symmetries, have been attracting significant attention as a powerful degree of
Yin S, Alù A.
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Lerch's $\Phi$ and the Polylogarithm at the Negative Integers
, 2021 <pre>At the negative integers, there is a simple relation between the Lerch $\Phi$ function and the polylogarithm. Starting from that relation and a formula for the polylogarithm at the negative integers known from the literature, we can deduce a ...
Jose Risomar Sousa
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Cluster Algebras and Polylogarithm Relations [PDF]
, 2021 We seek to illuminate the connection between multiple polylogarithm relations and cluster algebras in two ways. First, we give a uniform description of the cluster modular group of affine and doubly extended cluster algebras.
Greenberg, Zachary
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Notes on Meromorphic Functions with Positive Coefficients Involving Polylogarithm Function
Известия Иркутского государственного университета: Серия "Математика", 2020 In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms ...
G. Swapna +2 more
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Complex zeros of the Jonquière or polylogarithm function [PDF]
Mathematics of Computation, 1975 Complex zero trajectories of the function \[ F ( x , s
Fornberg, B., Kölbig, K. S.
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Fractal and Fractional, 2023 In this paper, we consider an approximation of the Caputo fractional derivative and its asymptotic expansion formula, whose generating function is the polylogarithm function.
Yuri Dimitrov +2 more
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A construction of the polylogarithm motive
, 2023 27 pagesClassical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial ...
Dupont, Clément, Fresán, Javier
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