A Note on Polyexponential and Unipoly Functions

By Dae San Kim, Taekyun Kim. Russian journal of mathematical physics, 2019

79 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/da7590fb3d33198142fa9657fe5c36e3420640dc

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In Algebra and Number Theory

1. Dae San Kim
2. Taekyun Kim
3. Yilmaz Simsek
4. Veli Kurt
5. Hari M. Srivastava
6. Daeyeoul Kim
7. Serkan Araci
8. I. N. Cangul

In Applied Mathematics

1. Dae San Kim
2. Taekyun Kim
3. Yilmaz Simsek

Citations in the corpus

• Degenerate polyexponential functions and degenerate Bell polynomials (2020, background): “function. 1 2 TAEKYUN KIM AND DAE SAN KIM Note that Li 1(x)=−log(1−x). The polyexponential function was first considered by Hardy and is given by (6) e(x,a|s)= ∞ ∑ n=0 xn (n+a)sn! , (Re(a)>0), (see [9,10,11]). From (6), we note that (7) e(x,1|1)= ∞ ∑ n=0 xn (n+1)! = 1 x ∞ ∑ n=0 xn n! −1 = 1 x (e”