In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...
K. N. Boyadzhiev, Apostol-Bernoulli functions, derivative polynomials, and Eulerian polynomials, Advances and Applications in Discrete Mathematics 1 (2008) 109–122 ...
Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...