Relevant bibliographies by topics / Generalized Multi poly-Bernoulli polynomials

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Academic literature on the topic 'Generalized Multi poly-Bernoulli polynomials'

Author: Grafiati
Published: 3 June 2025
Last updated: 22 June 2025

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Journal articles on the topic "Generalized Multi poly-Bernoulli polynomials"

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El-Desouky, Beih, Rabab Gomaa, and Alia Magar. "The multi-variable unified family of generalized Apostol-type polynomials." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 15. http://dx.doi.org/10.2298/aadm190405015e.

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The aim of this paper is to investigate and give a new family of multi-variable Apostol-type polynomials. This family is related to Apostol-Euler, Apostol-Bernoulli, Apostol-Genocchi and Apostol-laguerre polynomials. Moreover, we derive some implicit summation formulae and general symmetry identities. The new family of polynomials introduced here, gives many interesting special cases.
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2

Corcino, Roberto B., Hassan Jolany, Cristina B. Corcino, and Takao Komatsu. "On Generalized Multi Poly-Euler Polynomials." Fibonacci Quarterly 55, no. 1 (2017): 41–53. http://dx.doi.org/10.1080/00150517.2017.12427790.

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Komatsu, Takao, and Florian Luca. "Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials." International Journal of Number Theory 13, no. 02 (2017): 371–91. http://dx.doi.org/10.1142/s1793042117500221.

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By using the restricted and associated Stirling numbers of the first kind, we define the generalized restricted and associated poly-Cauchy polynomials. By using the restricted and associated Stirling numbers of the second kind, we define the generalized restricted and associated poly-Bernoulli polynomials. These polynomials are generalizations of original poly-Cauchy polynomials and original poly-Bernoulli polynomials, respectively. We also study their characteristic and combinatorial properties.
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Bilgic, Secil, and Veli Kurt. "On generalized q-poly-Bernoulli numbers and polynomials." Filomat 34, no. 2 (2020): 515–20. http://dx.doi.org/10.2298/fil2002515b.

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Many mathematicians in ([1],[2],[5],[14],[20]) introduced and investigated the generalized q-Bernoulli numbers and polynomials and the generalized q-Euler numbers and polynomials and the generalized q-Gennochi numbers and polynomials. Mahmudov ([15],[16]) considered and investigated the q-Bernoulli polynomials B(?)n,q(x,y) in x,y of order ? and the q-Euler polynomials E(?) n,q (x,y)in x,y of order ?. In this work, we define generalized q-poly-Bernoulli polynomials B[k,?] n,q (x,y) in x,y of order ?. We give new relations between the generalized q-poly-Bernoulli polynomials B[k,?] n,q (x,y) in x,y of order ? and the generalized q-poly-Euler polynomials ?[k,?] n,q (x,y) in x,y of order ? and the q-Stirling numbers of the second kind S2,q(n,k).
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Komatsu, Takao, and Genki Shibukawa. "Poly-Cauchy polynomials and generalized Bernoulli polynomials." Acta Scientiarum Mathematicarum 80, no. 34 (2014): 373–88. http://dx.doi.org/10.14232/actasm-013-761-9.

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6

Kim, Taekyun, and Dae Kim. "A note on degenerate multi-poly-Bernoulli numbers and polynomials." Applicable Analysis and Discrete Mathematics, no. 00 (2022): 5. http://dx.doi.org/10.2298/aadm200510005k.

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In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials. In addition, we give some identities and relations for the degenerate multi-poly- Bernoulli numbers and polynomials.
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Muhiuddin, G., W. A. Khan, U. Duran, and D. Al-Kadi. "Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable." Journal of Function Spaces 2021 (June 1, 2021): 1–8. http://dx.doi.org/10.1155/2021/7172054.

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In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the first kind. Moreover, we define degenerate multi-poly-Bernoulli polynomials of complex variables, and then, we derive several properties and relations.
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Kargin, Levent, Mehmet Cenkci, Ayhan Dil, and Mumun Can. "Generalized harmonic numbers via poly-Bernoulli polynomials." Publicationes Mathematicae Debrecen 100, no. 3-4 (2022): 365–86. http://dx.doi.org/10.5486/pmd.2022.9074.

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9

Kurt, Veli. "On the generalized q-poly-Euler polynomials of the second kind." Filomat 34, no. 2 (2020): 475–82. http://dx.doi.org/10.2298/fil2002475k.

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In this work, we define the generalized q-poly-Euler numbers of the second kind of order ? and the generalized q-poly-Euler polynomials of the second kind of order ?. We investigate some basic properties for these polynomials and numbers. In addition, we obtain many identities, relations including the Roger-Sz?go polynomials, the Al-Salam Carlitz polynomials, q-analogue Stirling numbers of the second kind and two variable Bernoulli polynomials.
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10

Bayad, Abdelmejid, and Yoshinori Hamahata. "Multiple polylogarithms and multi-poly-Bernoulli polynomials." Functiones et Approximatio Commentarii Mathematici 46, no. 1 (2012): 45–61. http://dx.doi.org/10.7169/facm/2012.46.1.4.

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Book chapters on the topic "Generalized Multi poly-Bernoulli polynomials"

1

Corcino, Roberto B. "Multi Poly-Bernoulli and Multi Poly-Euler Polynomials." In Applied Mathematical Analysis: Theory, Methods, and Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-319-99918-0_21.

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