On the theory of normalized Shintani L-functions and its application to Hecke L-functions, I: Real quadratic fields
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DOI: 10.1016/j.jnt.2018.11.023
Abstract: Abstract We define the class of normalized Shintani L-functions of several variables. Unlike Shintani zeta functions, the normalized Shintani L-function is a holomorphic function. Moreover it satisfies a good functional equation. We show that Hecke… read more here.
Keywords: theory normalized; real quadratic; normalized shintani; shintani functions ... See more keywords
HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
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DOI: 10.1017/s0004972720000556
Abstract: Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem.… read more here.
Keywords: functional equations; equations several; linear functional; hyperstability ... See more keywords
Fundamental Solutions of the Generalized Helmholtz Equation with Several Singular Coefficients and Confluent Hypergeometric Functions of Many Variables
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DOI: 10.1134/s1995080220010047
Abstract: Abstract An investigation of applied problems related to heat conduction and dynamics, electromagnetic oscillations and aerodynamics, quantum mechanics and potential theory leads to the study of various hypergeometric functions. The great success of the theory… read more here.
Keywords: confluent hypergeometric; hypergeometric functions; fundamental solutions; solutions generalized ... See more keywords
Fuzzy Optimal Control Problem of Several Variables
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DOI: 10.1155/2019/2182640
Abstract: The purpose of this paper is to establish the necessary conditions for a fuzzy optimal control problem of several variables. Also, we define fuzzy optimal control problems involving isoperimetric constraints and higher order differential equations.… read more here.
Keywords: fuzzy optimal; control problem; problem several; several variables ... See more keywords
Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables
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DOI: 10.1155/2019/7971495
Abstract: The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n-variable complex functions with n≥2. Argument analytic relationships for n-variable complex functions with significance similar to… read more here.
Keywords: holomorphic meromorphic; argument; meromorphic complex; functions several ... See more keywords
Vector-Valued Entire Functions of Several Variables: Some Local Properties
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DOI: 10.3390/axioms11010031
Abstract: The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn→R+n is a positive continuous function. For vector-valued functions from this class we prove some propositions… read more here.
Keywords: entire functions; vector valued; several variables; valued entire ... See more keywords