6 papers · 1 filter
Some summation theorems for truncated Clausen series and applications
M. I. Qureshi, Saima Jabee, Dilshad Ahamad
The main aim of this paper is to derive some new summation theorems for terminating and truncated Clausen's hypergeometric series with unit argument, when one numerator parameter a…
Some definite integrals of Srinivasa Ramanujan and its consequences
M. I. Qureshi, Showkat Ahmad
In this paper, we obtain analytical solutions of some definite integrals of Srinivasa Ramanujan [Mess. Math., XLIV, 75-86, 1915] in terms of Meijer's -function by using Laplace…
Some hypergeometric summation theorems and reduction formulas via Laplace transform method
M. I. Qureshi, Showkat Ahmad Dar
In this paper, we obtain analytical solutions of Laplace transform based some generalized class of the hyperbolic integrals in terms of hypergeometric functions , $…
Some summation theorems for Clausen's hypergeometric functions with unit argument
M. I. Qureshi, Mohd Shadab
Motivated by the work on hypergeometric summation theorems (recorded in the table III of Prudnikov et al. pp. 541-546), we have established some new summation theorems for Clausen'…
Laplace transforms based some novel integrals via hypergeometric technique
M. I. Qureshi, Showkat Ahmad Dar
In this paper, we obtain the analytical solutions of Laplace transforms based some novel integrals with suitable convergence conditions, by using hypergeometric approach (some alge…
Generalizations of Ramanujan integral associated with infinite Fourier cosine transforms in terms of hypergeometric functions and its applications
M. I. Qureshi, Showkat Ahmad Dar
In this paper, we obtain analytical solution of an unsolved integral of Srinivasa Ramanujan [., XLIV, 75-86, 1915], using hypergeometric…