Generalizations of the Bernoulli and Appell polynomials.
Bretti, Gabriella, Natalini, Pierpaolo, Ricci, Paolo E. (2004)
Abstract and Applied Analysis
Similarity:
Bretti, Gabriella, Natalini, Pierpaolo, Ricci, Paolo E. (2004)
Abstract and Applied Analysis
Similarity:
Natalini, Pierpaolo, Bernardini, Angela (2003)
Journal of Applied Mathematics
Similarity:
Zhi-Wei Sun, Hao Pan (2006)
Acta Arithmetica
Similarity:
Dil, Ayhan, Kurt, Veli, Cenkci, Mehmet (2007)
Journal of Integer Sequences [electronic only]
Similarity:
Açıkgöz, Mehmet, Erdal, Dilek, Aracı, Serkan (2010)
Advances in Difference Equations [electronic only]
Similarity:
Thomas Ernst (2015)
Annales UMCS, Mathematica
Similarity:
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
Thomas Ernst (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli and Apostol-Euler polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang. Most of the proofs are made by using generating functions, and the (multiple) q-addition plays a fundamental role. The introduction of the q-rational numbers in formulas with...
R.C.S. Chandel (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
Similarity:
Thomas Ernst (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...
Benali Benzaghou, Daniel Barsky (2006)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
We give a method to extend Bell exponential polynomials to negative indices. This generalizes many results of this type such as the extension to negative indices of Stirling numbers or of Bernoulli numbers.
Taekyun Kim, Dae San Kim, Jong-Jin Seo (2016)
Open Mathematics
Similarity:
In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Srivastava, A.N., Singh, S.D., Singh, S.N. (1980)
International Journal of Mathematics and Mathematical Sciences
Similarity: