A note on q-Volkenborn integration
By Taekyun Kim. 2005
47 citations recorded by the source corpus.
In this paper, we construct the new $q$-analogue of the ordinary Euler numbers and polynomials by using the $q$-Volkenborn integrals.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/796e64b04357434bd02f3bb013652910374d9feb
How researchers see this paper
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In Algebra and Number Theory
- Taekyun Kim
- Yilmaz Simsek
- Veli Kurt
- Hari M. Srivastava
- Daeyeoul Kim
- Serkan Araci
- I. N. Cangul
- Hacer Ozden
In Discrete Mathematics and Combinatorics
- Taekyun Kim
- Yilmaz Simsek
- Hari M. Srivastava
- Serkan Araci
- Veli Kurt
- I. N. Cangul
- Hacer Ozden
- Qiu-Ming Luo
Citations in the corpus
- $q$-Volkenborn Integration and Its Applications (2005, background): “In [12], we also proved that q-Eulerian polynomial En,q(x) can be represented by q-Volkenborn integral as follows: ∫”
- A Note on the-Genocchi Numbers and Polynomials (2007, methodology): “The following formula is well known in [ 4 , 7]:”