Results 51 to 60 of about 796,849 (91)
Bernoulli, poly-Bernoulli, and Cauchy polynomials in terms of Stirling and r-Stirling numbers [PDF]
, 2022 We review and discuss some results on the representation of Bernoulli, poly-Bernoulli numbers, and Bernoulli and Cauchy polynomials in terms of Stirling numbers of the first or second kind, or in terms of r-Stirling numbers.Comment: 10 ...
Boyadzhiev, Khristo N.
core
On modified degenerate Carlitz q-Bernoulli numbers and polynomials [PDF]
, 2017 In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016 ) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q -Bernoulli numbers and polynomials.
Jeong Gon Lee +3 more
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A study on a type of degenerate poly-Dedekind sums
Demonstratio MathematicaDedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui +4 more
doaj +1 more source
Some Identities of Degenerate Bell Polynomials
, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Dae San Kim +3 more
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Insight into degenerate Bell-based Bernoulli polynomials with applications [PDF]
Recently, the Bell-based Stirling polynomials of the second kind and the Bell-based Bernoulli polynomials [U. Duran, S. Araci, M. Acikgoz, Axioms, 10 (2021), 23 pages] have been considered, and some of their properties and applications in umbral calculus
Acikgoz, M, Araci, S, Duran, U
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, 2019 In this paper, we investigate some properties and identities for fully degenerate Bernoulli polynomials in connection with degenerate Bernstein polynomials by means of bosonic p-adic integrals on Z p and generating functions.
Jeong Gon Lee, Lee-Chae Jang, Wonjoo Kim
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On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
, 2020 In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli
Cheon Seoung Ryoo, Waseem A. Khan
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Universal sieve-based strategies for efficient estimation using machine learning tools. [PDF]
Bernoulli (Andover), 2021 Qiu H, Luedtke A, Carone M.
europepmc +1 more source
ON DEGENERATE BIVARIATE POLY-FUBINI POLYNOMIALS
In this paper, we introduce and investigate a new family of special polynomials called the degenerate bivariate poly-Fubini polynomials through an appropriate generating function involving the polylogarithm function and the degenerate exponential ...
Nestor G. Acala, Jasmin M. Macagaan
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, 2020 In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function.
Chang Phang +2 more
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