Dear Colleagues,

In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, astronomy, applied mathematics, physics, and engineering, owing mainly to their remarkable properties. The main purpose of this Special Issue is to create a forum of recently developed theories and formulas of special functions with their possible applications to other research areas. This Special Issue provides readers with an opportunity to develop an understanding of recent trends of special functions and the skills needed to apply advanced mathematical techniques to solve complex problems in the theory of partial differential equations. Subject matters are normally related to special functions involving mathematical analysis and its numerous applications, as well as more abstract methods in the theory of partial differential equations. The main objective of this Special Issue is to highlight the importance of fundamental results and techniques of the theory of complex analysis for PDEs, and emphasize articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering—particularly those that stress analytical aspects, and novel problems and their solutions. 

Prof. Dr. Praveen Agarwal
Prof. Dr. Hari Mohan Srivastava
Prof. Dr. Taekyun Kim
Prof. Dr. Shaher Momani
Guest Editors

Manuscript Submission Information

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• gamma, related functions, and their extensions;
• generalized hypergeometric functions and their extensions;
• classical polynomials and their extensions;
• recently developed and new polynomials;
• zeta functions;
• orthogonalpolynomials;
• PDEs;
• analytical properties and applications of special functions;
• inequalities for special functions;
• integration of products of special functions;
• properties of ordinary and general families of special polynomials;
• fractional calculus involving special functions