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ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES
( Nabiullah Khan ),( Saddam Husain ),( M. Iqbal Khan ) 호남수학회 2023 호남수학학술지 Vol.45 No.2
For the numerous uses and significance of the Whittaker function in the diverse research areas of mathematical sciences and engineering sciences, This paper aims to introduce an extension of the Whittaker function by using a new extended confluent hypergeometric function of the first kind in terms of the Mittag-Leffler function. We also drive various valuable results like integral representation, integral transform and derivative formula. Further, we also analyze specific known results as a particular case of the main result.
Ahmad Rais,Iqbal Javid,Ahmed Shakeel,Husain Saddam 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.3
In this paper, we consider a variational inclusion problem involving XOR-operation with its resolvent equation problem involving XOR-operation. We suggest separate iterative algorithms for solving both the problems. The existence and convergence results are proved for variational inclusion problem and for corresponding resolvent equation problem in ordered Hilbert spaces. We claim that results of this paper are new and refinement of previously known results.