Results 61 to 70 of about 444,557 (182)
Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods.
Burak Kurt
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Degenerate Apostol-Frobenius Type Poly-Genocchi Polynomials of Higher Order with Parameters a and b
European Journal of Pure and Applied Mathematics, 2023 This paper introduces another variation of poly-Genocchi polynomials by mixing the concept of modified degenerate polyexponential function, Apostol-Genocchi polynomials and Frobenius polynomials.
R. Corcino, C. Corcino
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Symmetry, 2023 In this paper, the uniform approximations of the Apostol–Frobenius–Genocchi polynomials of order α in terms of the hyperbolic functions are derived through the saddle-point method. Moreover, motivated by the works of Corcino et al., an approximation with
C. Corcino +2 more
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Convolution Identities for Bernoulli and Genocchi Polynomials [PDF]
The Electronic Journal of Combinatorics, 2014 The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.
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Construction of Fourier Series Expansion of Apostol-Frobenius-Type Tangent and Genocchi Polynomials
European Journal of Pure and Applied Mathematics, 2023 In this study, the Fourier series expansions of the Apostol-Frobenius type of Tangent and Genocchi polynomials of higher order are derived using the Cauchy residue theorem.
R. Corcino +4 more
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Advances in Mathematical Physics, 2017 It is known that Genocchi polynomials have some advantages over classical orthogonal polynomials in approximating function, such as lesser terms and smaller coefficients of individual terms.
Jian Rong Loh +2 more
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Symmetry, 2022 The main aim of this study is to define degenerate Genocchi polynomials and numbers of the second kind by using logarithmic functions, and to investigate some of their analytical properties and some applications.
W. Khan, M. S. Alatawi
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An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials
Mathematics, 2023 In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani +6 more
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Mathematics, 2022 Numerous polynomial variations and their extensions have been explored extensively and found applications in a variety of research fields. The purpose of this research is to establish a unified class of Apostol–Genocchi polynomials based on poly-Daehee ...
T. Usman +5 more
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On the new type of degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
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