Successive differentiations of tangent, cotangent, secant, cosecant functions and related hyperbolic functions (A hypergeometric approach)

Hypergeometric Representations of Some Mathematical Functions via Maclaurin Series

“…So we are interested to give the proof of hypergeometric forms of the functions mentioned in Section 2. For some recent related work, the interested readers can consult the papers by Qureshi, et al [9,10,11,12].…”

Hypergeometric Forms of Some Mathematical Functions via Differential Equation Approach

“…In Sections 2, we have derived the hypergeometric forms of some mathematical functions by using differential equation approach. For hypergeometric forms of other mathematical functions and functions of mathematical physics, we refer the literature [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [17] and [19], where the proof of hypergeometric forms of related functions are not given. So we are interested to give the proof of hypergeometric forms of the functions mentioned in Section 2.…”