Unraveling multivariable Hermite-Apostol-type Frobenius-Genocchi polynomials via fractional operators
Copyright policy )Unraveling multivariable Hermite-Apostol-type Frobenius-Genocchi polynomials via fractional operators
<abstract><p>This study explores the evolution and application of integral transformations, initially rooted in mathematical physics but now widely employed across diverse mathematical disciplines. Integral transformations offer a comprehensive framework comprising recurrence relations, generating expressions, operational formalism, and special functions, enabling the construction and analysis of specialized polynomials. Specifically, the research investigates a novel extended family of Frobenius-Genocchi polynomials of the Hermite-Apostol-type, incorporating multivariable variables defined through fractional operators. It introduces an operational rule for this generalized family, establishes a generating connection, and derives recurring relations. Moreover, the study highlights the practical applications of this generalized family, demonstrating its potential to provide solutions for specific scenarios.</p></abstract>
- University of Oradea Romania
- Symbiosis International University India
- UniNettuno University Italy
- King Khalid University Saudi Arabia
- Krishna Institute of Medical Sciences Deemed University India
applications, Orthogonal polynomials, eulers' integral, Arithmetic of Multiple Zeta Values and Related Functions, Multivariable calculus, Matrix Valued Polynomials, Orthogonal Polynomials, Discrete orthogonal polynomials, Engineering, QA1-939, FOS: Mathematics, Polylogarithms, Biology, operational connection, Hermite polynomials, Algebra over a field, Algebra and Number Theory, Ecology, Applied Mathematics, Control engineering, Classical orthogonal polynomials, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, multivariable special polynomials, Quadrature Methods, Physics and Astronomy, fractional operators, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, explicit form, Hypergeometric Functions
applications, Orthogonal polynomials, eulers' integral, Arithmetic of Multiple Zeta Values and Related Functions, Multivariable calculus, Matrix Valued Polynomials, Orthogonal Polynomials, Discrete orthogonal polynomials, Engineering, QA1-939, FOS: Mathematics, Polylogarithms, Biology, operational connection, Hermite polynomials, Algebra over a field, Algebra and Number Theory, Ecology, Applied Mathematics, Control engineering, Classical orthogonal polynomials, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, multivariable special polynomials, Quadrature Methods, Physics and Astronomy, fractional operators, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, explicit form, Hypergeometric Functions
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