THE 3-VARIABLE HERMITE POLY-BERNOULLI POLYNOMIALS OF THE SECOND KIND

Waseem Ahmad Khan, Mohd Ghayasuddin, Junesang Choi, Nabiullah Khan

Abstract


Recently a remarkably large number of polynomials and numbers and their generalizations have been introduced and investigated, due mainly to their usefulness. In this sequel, we aim to introduce the 3-variable Hermite poly-Bernoulli polynomials of the second kind and investigate some of their properties and formulas such as implicit summation formulas and symmetric identities. The results presented here are sure to be new and potentially useful. They, being general, can be specialized to yield some known and new formulas.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea