Preliminaries

Xiao-Jun Yang ()
Additional contact information
Xiao-Jun Yang: China University of Mining and Technology, School of Mathematics and State Key Laboratory for Geomechanics and Deep Underground Engineering

Chapter Chapter 1 in Theory and Applications of Special Functions for Scientists and Engineers, 2021, pp 1-145 from Springer

Abstract: Abstract In this chapter, we investigate the special functions and operator calculus. At first, the Euler gamma function, Pochhammer symbols, Euler beta function, extended Euler gamma function, and extended Euler beta function are introduced. Then, the Gauss hypergeometric series, Clausen hypergeometric series, supertrigonometric and superhyperbolic functions, and Laplace and Mellin transforms are presented. Finally, the calculus operators with respect to monotone function are discussed and the mathematical models in applied sciences are also reported in detail.

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6334-2_1

Ordering information: This item can be ordered from
http://www.springer.com/9789813363342

DOI: 10.1007/978-981-33-6334-2_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().