3 papers
math.NT2026
An Integral Representation of the Generalized Fibonacci Numbers
Bikash Chakraborty, Kalyan Barman, Soumon Roy +1
In this note, we present an integral representation of the -generalized Fibonacci sequence and provide a proof using contour integration. This representation enables the derivat…
math.CV2025
Periodicity of Transcendental Entire Functions Sharing Set with their Shifts
Soumon Roy, Ritam Sinha
This paper aims to study the periodicity of a transcendental entire function of hyper-order less than one. For a transcendental entire function of hyper order less than one and a n…
math.CV2025
A Note on the value distribution of some differential-difference monomials generated by a transcendental entire function of hyper-order less than one
Soumon Roy, Sudip Saha, Ritam Sinha
Let be a transcendental entire function with hyper-order less than one. The aim of this note is to study the value distribution of the differential-difference monomi…