4 papers
math.CO2026
Concise and elegant proofs of three formulas for complete Bell polynomials
Feng Qi
In the paper, in light of the generating function of the complete Bell polynomials and other techniques, the author presents concise and elegant proofs of three formulas for the co…
math.GM2026
Theory of Normalized Remainders in Taylor Series Expansions
Feng Qi
Since 2023, through the detailed examination of numerous concrete examples, the author and his collaborators have identified a recurring pattern. Building upon this observation, th…
math.CO2025
Uniform treatments of Bernoulli numbers, Stirling numbers, and their generating functions
Feng Qi
In this paper, by virtue of a determinantal formula for derivatives of the ratio between two differentiable functions, in view of the Faà di Bruno formula, and with the help of sev…
math.CA2025
Expressing the difference of two Hurwitz zeta functions by a linear combination of the Gauss hypergeometric functions
Feng Qi
In the paper, the author expresses the difference in terms of a linear combination of the function $Î…