On Rational Invariant Summation of p-Adic Power Series with Binomial Coefficient

Autor:	Shaikh, Absos Ali, Sarkar, Mabud Ali
Rok vydání:	2019
Předmět:	Mathematics - Number Theory 12J25 32P05 26E30 40A05 40D99 40A30
Druh dokumentu:	Working Paper
Popis:	In the work we have considered p-adic functional series with binomial coefficients and discussed its p-adic convergence. Then we have derived a recurrence relation following with a summation formula which is invariant for rational argument. More precisely, we have investigated a sufficient condition under which the p-adic power series converges to a rational invariant sum 0. Finally we have shown application of the invariant summation formula to get some intersting relations involving Bernoulli numbers and Bernoulli polynomials. Comment: 12
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.02842 Zobrazit plný text záznamu View this record from Arxiv