A Comprehensive Treatment of q-Calculus
To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theo...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2012. |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A comprehensive treatment of q-calculus, Thomas Ernst, Basel, Birkhäuser, Springer, 2012, 1 vol. (XVI-491 p.), 978-3-0348-0430-1 |
Sommario:
- 1 Introduction 2 The different languages of q 3 Pre q-Analysis 4 The q-umbral calculus and the semigroups. The Nørlund calculus of finite diff 5 q-Stirling numbers 6 The first q-functions 7 An umbral method for q-hypergeometric series 8 Applications of the umbral calculus 9 Ciglerian q-Laguerre polynomials 10 q-Jacobi polynomials 11 q-Legendre polynomials and Carlitz-AlSalam polynomials 12 q-functions of many variables 13 Linear partial q-difference equations 14 q-Calculus and physics 15 Appendix: Other philosophies.