3 papers
math.GM2026
On Mersenne-Bernoulli and Mersenne-Euler polynomials
Artatrana Suna, Prasanta Kumar Ray
The sequence of Mersenne numbers is defined as In this study we introduce the Mersenne-Bernoulli and Mersenne-Euler polynomials. Using the genera…
math.GM2026
Threshold Phenomena and Bounds in Normalized Remainders of Degenerate Exponential Functions
Artatrana Suna, Prasanta Kumar Ray
In this work, we study a normalized remainder $T_{n,λ}[\e_λ]$ for the degenerate exponential $\e_λ(u)=(1+λu)^{1/λ}$ (). We establish an integral representation, an exact monot…
math.GM2026
On Apostol-Type Mersenne-Bernoulli and Mersenne-Euler Polynomials
Artatrana Suna, Prasanta Kumar Ray
In this paper, we introduce the Apostol-type Mersenne-Bernoulli and Mersenne-Euler polynomials of order . By employing the -calculus, based on the Mersenne numbers, we establ…