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20032022
most citedTwo closed forms for the Bernoulli polynomials

77 citations · 2.3k across the 111 of their papers we have counts for

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7 papers · 1 filter

math.NT2022★ 3 cited

Monotonicity and absolute convexity of two functions involving Riemann zeta function

Bai-Ni Guo, Feng Qi

Let be a constant, let be an integer, and let denote the Euler gamma function. With the aid of the integral representation for the Riemann zeta function …

math.NT2014★ 9 cited

A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers

Bai-Ni Guo, Feng Qi

In the paper, the authors review some explicit formulas and establish a new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers of the second kind.

math.NT2014★ 22 cited

An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind

Feng Qi

In the paper, the author finds an explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind.

math.NT2014★ 28 cited

An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind

Feng Qi

In the note, the author discovers an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.

math.NT2014★ 19 cited

Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers

Bai-Ni Guo, Feng Qi

In the paper, the authors provide four alternative proofs of an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.

math.NT2013

Extended fermionic -adic integrals on

Feng Qi, Serkan Araci, Mehmet Acikgoz

In the paper, using the extended fermionic -adic integral on , the authors find some applications of the umbral calculus. From these applications, the authors deri…

math.NT2012★ 5 cited

On the -Genocchi numbers and polynomials with weight zero and their applications

Serkan Araci, Mehmet Acikgoz, Feng Qi

In this paper, the authors deal with the -Genocchi numbers and polynomials with weight zero. They discover some interesting relations via the -adic -integral on $\mathbb{Z…