Results 81 to 90 of about 444,557 (182)
A new family of Apostol–Genocchi polynomials associated with their certain identities
Applied Mathematics in Science and Engineering, 2023 In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan +3 more
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European Journal of Pure and Applied MathematicsIn this paper, we unveil a novel category of Frobenius-Genocchi polynomials, grounded in the Bell numbers and Apostol-type functions. Our exploration delves into a comprehensive examination of these polynomials, elucidating various properties ...
R. Corcino, C. Corcino
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A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS [PDF]
Bulletin of the Korean Mathematical Society, 2010 Let us give some notations for \(q\)-series: \[ \left[ x\right] _{q}=\frac{1-q^{x}}{1-q}, \] \[ \left[ m\right] _{q}!=\left[ m\right] _{q}\left[ m-1\right] _{q}...\left[ m-2\right] _{q}\left[ 1\right] _{q}, \] and \[ \left(\begin{matrix} m \\ k \end{matrix}\right) _{q}=\frac{\left[ m\right] _{q}\left[ m-1\right] _{q}\left[ m-2\right] _{q}...\left[ m-k ...
Kurt, Veli, Cenkci, Mehmet
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Symmetry, 2022 The main purpose of this article is to derive several convolutions for generalized Bernoulli and Euler–Genocchi polynomials of order (r,m), Bn(r,m)(x) and An(r,m)(x), respectively.
R. Frontczak, Ž. Tomovski
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Derivatives of tangent function and tangent numbers
, 2015 In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki +37 more
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On Multiple Interpolation Functions of the q-Genocchi Polynomials
Journal of Inequalities and Applications, 2010 Recently, many mathematicians have studied various kinds of the q-analogue of Genocchi numbers and polynomials. In the work (New approach to q-Euler, Genocchi numbers and their interpolation functions, “Advanced Studies in Contemporary ...
Sun-Jung Lee +3 more
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On some sequences of polynomials generating the Genocchi numbers [PDF]
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020 Sequences of Genocchi numbers of the first and second kind are considered. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.
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Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Mathematics, 2018 In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He +3 more
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A Note on Some Properties of the Weighted 𝑞-Genocchi Numbers and Polynomials
Journal of Applied Mathematics, 2011 We consider the weighted 𝑞-Genocchi numbers and polynomials. From the construction of the weighted 𝑞-Genocchi numbers and polynomials, we investigate many interesting identities and relations satisfied by these new numbers and polynomials.
L. C. Jang
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Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System
Eurasian Journal of Science and Engineering, 2021 Genocchi polynomials are known to be defined on the interval [0, 1], but to benefit from the advantages of this polynomials in the field of fractional differential equations (FDEs), it was realized that fractional derivatives of many functions with ...
Abdulnasir Isah, Salisu Ibrahim
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