Results 31 to 40 of about 444,557 (182)
Carpathian Mathematical Publications, 2022 The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the
W. Ramírez, C. Cesarano
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Symmetry, 2023 Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations.
N. Alam +5 more
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Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa +2 more
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WSEAS Transactions on Mathematics, 2022 The main objective of this work is to deduce some interesting algebraic relationships that connect the degenerated generalized Apostol–Bernoulli, Apostol–Euler and Apostol– Genocchi polynomials and other families of polynomials such as the generalized ...
W. Ramírez, C. Cesarano, S. Díaz
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Some identities of Genocchi polynomials arising from Genocchi basis [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rim, Seog-Hoon +3 more
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A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 It is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. The feature of this paper is to gain a more credible approximate solution via fractional Taylor’s series (FTS).
Ming-Jing Du, Ahmed Salem
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Integral Formulae of Bernoulli and Genocchi Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Recently, some interesting and new identities are introduced in the work of Kim et al. (2012). From these identities, we derive some new and interesting integral formulae for Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +2 more
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Numerical Approach for Solving the Fractional Pantograph Delay Differential Equations
Complexity, Volume 2022, Issue 1, 2022., 2022 A new class of polynomials investigates the numerical solution of the fractional pantograph delay ordinary differential equations. These polynomials are equipped with an auxiliary unknown parameter a, which is obtained using the collocation and least‐squares methods.
Jalal Hajishafieiha +2 more
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New $U$-Bernoulli, $U$-Euler and $U$-Genocchi polynomials and their matrices
Carpathian Mathematical Publications, 2023 In this paper, we introduce the $U$-Bernoulli, $U$-Euler, and $U$-Genocchi polynomials, their numbers, and their relationship with the Riemann zeta function.
W. Ramírez +4 more
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Unification of Two‐Variable Family of Apostol‐Type Polynomials with Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, the two‐variable unified family of generalized Apostol‐type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol‐type numbers and polynomials constructed from the new 2‐variable unified family.
Beih S. El-Desouky +3 more
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