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searching for Generalized hypergeometric function 6 found (26 total)

alternate case: generalized hypergeometric function

Appell sequence (1,438 words) [view diff] exact match in snippet view article find links to article

class of Appell polynomials can be obtained in terms of the generalized hypergeometric function. Let Δ ( k , − n ) {\displaystyle \Delta (k,-n)} denote the

Fox H-function (1,157 words) [view diff] exact match in snippet view article find links to article

MR 2562766 Rathie, Arjun K. (1997), "A new generalization of generalized hypergeometric function", Le Matematiche, LII: 297–310. Srivastava, H. M.; Gupta

Beta-binomial distribution (2,207 words) [view diff] exact match in snippet view article find links to article

&0\leq x<n\\1,&x\geq n\end{cases}}} where 3F2(a;b;x) is the generalized hypergeometric function 3 F 2 ( 1 , − x , n − x + β ; n − x + 1 , 1 − x − α ; 1 )

Binomial transform (2,375 words) [view diff] exact match in snippet view article find links to article

Paris, R. B. (2010). "Euler-type transformations for the generalized hypergeometric function". Z. Angew. Math. Phys. 62 (1): 31–45. doi:10.1007/s00033-010-0085-0

Lerch zeta function (3,490 words) [view diff] exact match in snippet view article find links to article

{\displaystyle |a|<1;\Re (s)<0.} The representation as a generalized hypergeometric function is Φ ( z , s , α ) = 1 α s s + 1 F s ( 1 , α , α , α , ⋯

Modified half-normal distribution (1,782 words) [view diff] case mismatch in snippet view article find links to article

Wright, E. Maitland (1935). "The Asymptotic Expansion of the Generalized Hypergeometric Function". Journal of the London Mathematical Society. s1-10 (4):