Results 21 to 30 of about 47,919 (237)
ON H(X)-FIBONACCI-EULER AND H(X)-LUCAS-EULER NUMBERS AND POLYNOMIALS
Acta Universitatis Apulensis, 2019 Summary: Let \(h(x)\) be a polynomial with real coefficients. We introduce \(h(x)\)-Fibonacci-Euler polynomials that generalize both Catalan's Fibonacci polynomials and Byrd's Fibonacci polynomials and also the \(k\)-Fibonacci numbers, and we provide properties and summation formulas for these polynomials.
Pathan, M. A., Khan, Waseem A.
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On the Higher-Order q-Euler Numbers and Polynomials with Weight α
Discrete Dynamics in Nature and Society, 2011 The main purpose of this paper is to present a systemic study of some families of higher-order q-Euler numbers and polynomials with weight α. In particular, by using the fermionic p-adic q-integral on ℤp, we give a new concept of q-Euler numbers and ...
K.-W. Hwang +3 more
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A new extension of q-Euler numbers and polynomials related to their interpolation functions
Applied Mathematics Letters, 2008 Hacer Ozden, Yilmaz Simsek
exaly +2 more sources
Applicable Analysis and Discrete Mathematics, 2023 The purpose of this paper is to give formulas and Recurrence relations for the Apostol-Euler numbers and polynomials of order with complex numbers with the aid of the Euler operator and partial derivatives of the generating function.
Damla Gun, Y. Simsek
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A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +3 more
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Generalized -Euler Numbers and Polynomials [PDF]
ISRN Applied Mathematics, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . For the complement theorem, have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of “scattering” of the zeros of the the generalized Euler polynomials in complex plane.
Lee, Hui Young +2 more
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q-Euler numbers and polynomials associated with p-adic q-integrals [PDF]
Computers and Mathematics with Applications, 2006 The main purpose of this paper is to present a systemic study of some families of multiple q-Euler numbers and polynomials. In particular, by using the q-Volkenborn integration on ℤp, we construct p-adic q-Euler numbers and polynomials of higher order ...
Taekyun Kim, S. Rim
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On generalized Lucas polynomials and Euler numbers [PDF]
Miskolc Mathematical Notes, 2010 In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
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Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable
Journal of Function Spaces, 2021 In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of
Ghulam Muhiuddin +2 more
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Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Applied Mathematics in Science and Engineering, 2023 Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Lingling Luo +3 more
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