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11: 18.20 Hahn Class: Explicit Representations
§18.20 Hahn Class: Explicit Representations
§18.20(i) Rodrigues Formulas
§18.20(ii) Hypergeometric Function and Generalized Hypergeometric Functions
12: 18.26 Wilson Class: Continued
§18.26 Wilson Class: Continued
§18.26(ii) Limit Relations
§18.26(iii) Difference Relations
§18.26(iv) Generating Functions
§18.26(v) Asymptotic Approximations
13: 18.27 q -Hahn Class
§18.27 q -Hahn Class
The q -hypergeometric OP’s comprise the q -Hahn class (or q -linear lattice class) OP’s and the Askey–Wilson class (or q -quadratic lattice class) OP’s (§18.28). … There are 18 families of OP’s of q -Hahn class. …
From Big q -Jacobi to Jacobi
Limit Relations
14: 28.36 Software
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C17). …
15: 33.26 Software
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C12). …
16: 18.23 Hahn Class: Generating Functions
§18.23 Hahn Class: Generating Functions
Hahn
17: 4.48 Software
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C4). …
18: 11.16 Software
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C10e). …
19: 13.32 Software
For another listing of Web-accessible software for the functions in this chapter, see GAMS (class C11). …
20: 27.19 Methods of Computation: Factorization
Techniques for factorization of integers fall into three general classes: Deterministic algorithms, Type I probabilistic algorithms whose expected running time depends on the size of the smallest prime factor, and Type II probabilistic algorithms whose expected running time depends on the size of the number to be factored. …