Some results for Carlitz’s q-Bernoulli numbers and polynomials

He, Yuan

doi:10.2298/aadm140626006h

Cited by 4 publications

(3 citation statements)

References 25 publications

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“…which was firstly discovered by Sun [20], and also appeared in ( [19], Corollary 1.4). For some similar results to (42) and (49), one is referred to [21,22].…”

Section: The Statement Of Resultsmentioning

confidence: 79%

Some Identities for the Two Variable Fubini Polynomials

Dan-dan

2019

Mathematics

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“…which was firstly discovered by Sun [20], and also appeared in ( [19], Corollary 1.4). For some similar results to (42) and (49), one is referred to [21,22].…”

Section: The Statement Of Resultsmentioning

confidence: 79%

Some Identities for the Two Variable Fubini Polynomials

Dan-dan

2019

Mathematics

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“…Indeed, if the polynomials p n (x) have exponential generating series (1), then for the Bernoulli numbers. This identity has been proved and generalized in several ways by several authors [8,11,16,21,24,25,35,36]. In next theorem, we generalize such an identity to symmetric s-Appell polynomials.…”

Section: Symmetric Appell Polynomialsmentioning

confidence: 75%

Combinatorial identities for Appell polynomials

Munarini¹

2018

APPL ANAL DISCRETE M

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Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as the Hermite, Laguerre, Bernoulli, Euler, Nörlund, hypergeometric Bernoulli, and Legendre polynomials. Moreover, we obtain a generalization of Carlitz's identity for Bernoulli numbers and polynomials to arbitrary symmetric s-Appell polynomials.

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“…The Bernoulli numbers, which started with a study on the sum of the power series, has many relationships with other special numbers [2,4,5,3,6,7,13,21,22,27].…”

Section: And Ds Kim Called (1+ λT)mentioning

confidence: 99%

Degenerate Daehee Numbers of the Third Kind

Pyo¹,

Kim²,

Rim³

2018

Preprint

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In this paper, we define new kind of Daehee numbers, the degenerate Daehee numbers of the third kind, using degenerate log function as generating function. We obtain some identities for the degenerate Daehee numbers of the third kind associated with the Daehee, degenerate Daehee and degenerate Daehee numbers of the second kind. In addition, we derive a differential equation associated with the degenerate log function. We deduce some identities from the differential equation.

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Some results for Carlitz’s q-Bernoulli numbers and polynomials

Cited by 4 publications

References 25 publications

Some Identities for the Two Variable Fubini Polynomials

Some Identities for the Two Variable Fubini Polynomials

Combinatorial identities for Appell polynomials

Degenerate Daehee Numbers of the Third Kind

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