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Inequalities Involving $q$-Analogue of Multiple Psi Functions
Comptes Rendus. Mathématique, 2020 Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered.
Das, Sourav
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EXTENSION OF STARLIKE FUNCTIONS TO A FINITELY PUNCTURED PLANE
Проблемы анализа, 2017 We consider a sequence of functions which are starlike in the unit disk and their logarithmic derivatives are meromorphic with a finite number of simple poles in any boundary domain.
D. V. Prokhorov
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Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials [PDF]
, 2014 We generalize a recently proposed small-energy expansion for one-dimensional quantum-mechanical models. The original approach was devised to treat symmetric potentials and here we show how to extend it to non-symmetric ones.
Amore, Paolo, Fernández, Francisco M.
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Matricial logarithmic derivatives
Linear Algebra and its Applications, 1978 AbstractIf θ is a norm on Cn, then the mapping A→limh↓0‖I+hA‖θ−1/h from Mn(C) (=Cn × n) into R is called the logarithmic derivative induced by the vector norm θ. In this paper we generalize this concept to a mapping γ from Mn(C) into Mk(R), where k ⩽ n.
Deutsch, Emeric, Mlynarski, Max
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On criteria for algebraic independence of collections of functions satisfying algebraic difference relations [PDF]
Opuscula Mathematica, 2017 This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras ...
Hiroshi Ogawara
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A Quantitative Vainberg Method for Black Box Scattering [PDF]
, 2016 We give a quantitative version of Vainberg's method relating pole free regions to propagation of singularities for black box scatterers. In particular, we show that there is a logarithmic resonance free region near the real axis of size $\tau$ with ...
Galkowski, Jeffrey
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Logarithmic derivative of an entire function [PDF]
Proceedings of the American Mathematical Society, 1971 A representation for the logarithmic derivative ( f ′ / f ) (f’/f) of an entire function f f of finite order, parametrically in terms of some zeros and critical points of f f , is derived from the Hadamard representation and ...
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Generalized fractional integral inequalities by means of quasiconvexity
Advances in Difference Equations, 2019 Using the newly introduced fractional integral operators in (Fasc. Math. 20(4):5-27, 2016) and (East Asian Math. J. 21(2):191-203, 2005), we establish some novel inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute
Eze R. Nwaeze
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On Symbolic 2-Plithogenic Hyperbolic Functions [PDF]
Neutrosophic Sets and SystemsIn this article, we have introduced and studied the concept of symbolic 2-plithogenic hyperbolic functions and the symbolic 2-plithogenic identities. Also, we have discussed the derivatives and integrals of the symbolic 2-plithogenic hyperbolic functions
Ahmad A. Abubaker +7 more
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Generalization of Okamoto's Equation to Arbitrary 2×2 Schlesinger System
Advances in Mathematical Physics, 2009 The 2×2 Schlesinger system for the case of four regular singularities is equivalent to the Painlevé VI equation. The Painlevé VI equation can in turn be rewritten in the symmetric form of Okamoto's equation; the dependent variable in Okamoto's form of ...
Dmitry Korotkin, Henning Samtleben
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