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Home 2018

Todorov’s formula involving Stirling numbers of the second kind and Nörlund polynomials

Authors: A. Zúñiga-Segundo, J. López-Bonilla, S. Vidal-Beltrán, 107 (2018) 201-206

2024-02-16
Reading Time: 3 mins read
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ABSTRACT

We use the Todorov’s formula for the generalized Bernoulli numbers, in terms of Stirling numbers of the second kind, to deduce the Guo-Qi and Schläfli identities. Our approach is based in the duality property between the Stirling numbers, and in the Nörlund polynomials. We also consider the Janjic’s definitions for the Stirling numbers.

 

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Tags: Bernoulli numbersDuality propertyGeneralized chain rule of differentiationHoppe’s formulaNörlund polynomialsStirling numbers
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