Asymptotics of Genocchi polynomials and higher order Genocchi polynomials using residues
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DOI: 10.1007/s13370-019-00759-z
Abstract: Approximation formulas for the Genocchi polynomials and Genocchi polynomials of higher order are obtained using the method of residues. The authors were motivated by a paper of Lopez and Temme. Formulas obtained here are used… read more here.
Keywords: polynomials higher; order genocchi; genocchi polynomials; higher order ... See more keywords
Operational matrix based on Genocchi polynomials for solution of delay differential equations
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DOI: 10.1016/j.asej.2016.09.015
Abstract: Abstract In this paper, we present a new simple and effective algorithm for solving generalized Pantograph equations, delay differential equations with neutral terms and delay differential system with constant and variable coefficients.The new method is… read more here.
Keywords: matrix based; genocchi polynomials; differential equations; based genocchi ... See more keywords
New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.02.001
Abstract: Abstract In this research, new operational method based on Genocchi polynomials for numerical solutions of non-linear fractional differential equations (NFDEs) is proposed. The Genocchi operational matrix of fractional derivative is first constructed by using some… read more here.
Keywords: non linear; fractional differential; genocchi polynomials; linear fractional ... See more keywords
Fourier Series for the Tangent Polynomials, Tangent-Bernoulli and Tangent-Genocchi Polynomials of Higher Order
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DOI: 10.3390/axioms11030086
Abstract: In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent… read more here.
Keywords: tangent; higher order; genocchi polynomials; fourier series ... See more keywords
Symmetric Identities for Carlitz's Type Higher-Order (p, q)-Genocchi Polynomials
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DOI: 10.3390/sym12101670
Abstract: In this paper, we study Carlitz’s type higher-order (p,q)-Genocchi polynomials. To be specific, we define Carlitz’s type higher-order (p,q)-Genocchi polynomials and Carlitz’s type higher-order (h,p,q)-Genocchi polynomials. This paper also explores properties including distribution relation and… read more here.
Keywords: higher order; order genocchi; genocchi polynomials; type higher ... See more keywords
A Note on Modified Degenerate Changhee-Genocchi Polynomials of the Second Kind
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DOI: 10.3390/sym15010136
Abstract: In this study, we introduce modified degenerate Changhee–Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications. We first attain diverse relations and formulas covering addition formulas, recurrence rules,… read more here.
Keywords: polynomials second; changhee genocchi; second kind; genocchi polynomials ... See more keywords
Asymptotic Approximations of Higher-Order Apostol-Frobenius-Genocchi Polynomials with Enlarged Region of Validity
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DOI: 10.3390/sym15040876
Abstract: 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… read more here.
Keywords: apostol frobenius; genocchi polynomials; genocchi; enlarged region ... See more keywords