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Topics in Special Functions and q-Special Functions

Advances in Difference Equations welcomes submissions to the thematic series titled 'Topics in Special Functions and q-Special Functions: Theory, Methods, and Applications'.

Special functions, being natural generalizations of the elementary functions, have their origin in the solution of partial differential equations satisfying some set of conditions. Special functions can be defined in a variety of ways. Many special functions of a complex variable can be defined by means of either a series or an appropriate integral. Special functions like Bessel functions, Whittaker functions, Gauss hypergeometric function and the polynomials that go by the names of Jacobi, Legendre, Laguerre, Hermite, etc., have been continuously developed. Also, sequences of polynomials play a vital role in applied mathematics. Two
important classes of polynomial sequences are the Sheffer and Appell sequences. The Appell and Sheffer polynomial sequences occur in different applications in many different branches of mathematics, theoretical physics, approximation theory, and other fields.
This special issue focuses on the applications of the special functions and polynomials to various areas of mathematics. Thorough knowledge of special functions is required in modern engineering and physical science applications. These functions typically arise in such applications as communications systems, statistical probability distribution, electro-optics, nonlinear wave propagation, electromagnetic theory, potential theory, electric circuit theory, and quantum mechanics.

Potential topics include but are not limited to the following:

  • 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
  • Operational techniques involving Special Polynomials
  • Classes of mixed Special Polynomials and their properties
  • Other miscellaneous applications of Special Functions and Special Polynomials

Deadline for Submissions: 8th October 2020

Lead Guest Editor: 
Serkan Araci, Hasan Kalyoncu University, Turkey

Guest Editors: 
H. M. Srivastava, University of Victoria, Canada

Kottakkaran Sooppy Nisar, Prince Sattam bin Abdulaziz Univeristy, Saudi Arabia

Submission Instructions:
Before submitting your manuscript, please ensure you have carefully read the submission guidelines for Advances in Difference Equations. The complete manuscript should be submitted through the journal's submission system. To ensure that you submit to the correct thematic series please select the appropriate thematic series in the drop-down menu upon submission. In addition, indicate within your cover letter that you wish your manuscript to be considered as part of the thematic series on complex needs. All submissions will undergo rigorous peer-review and accepted articles will be published in the journal as a collection. 

Submissions will also benefit from the usual advantages of open access publication: 

Rapid publication: Online submission, electronic peer review, and production make the process of publishing your article simple and efficient 

High visibility and international readership in your field: Open access publication ensures high visibility and maximum exposure for your work - anyone with online access can read your article 

No space constraints: Publishing online means unlimited space for figures, extensive data and video footage

Authors retain copyright, licensing the article under a Creative Commons license: articles can be freely redistributed and reused as long as the article is correctly attributed.

For all information in one page kindly download the PDF below:

Topics in Special Functions and q-Special Functions: Theory, Methods, and Applications (PDF, 28.6 kB)

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