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Volumn 62, Issue 1-2, 2001, Pages 60-78

On Jackson's q-Gamma function;Sur la fonction q-Gamma de Jackson

Author keywords

Asymptotic expansion; Jacobi's series; q Gamma function; Wielandt's Theorem

Indexed keywords


EID: 4644276265     PISSN: 00019054     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00000144     Document Type: Article
Times cited : (13)

References (10)
  • 1
    • 0000905932 scopus 로고
    • The q-gamma and q-beta functions
    • R. ASKEY, The q-gamma and q-beta functions, Appl. Anal. 8 (1978), 125-141.
    • (1978) Appl. Anal. , vol.8 , pp. 125-141
    • Askey, R.1
  • 2
    • 0001582431 scopus 로고
    • Ramanujan's extension of the gamma and beta functions
    • R. ASKEY, Ramanujan's extension of the gamma and beta functions, Amer. Math. Monthly 87 (1980), 346-359.
    • (1980) Amer. Math. Monthly , vol.87 , pp. 346-359
    • Askey, R.1
  • 4
    • 0003344023 scopus 로고
    • Basic hypergeometric series
    • Cambridge Univ. Press, Cambridge
    • G. GASPER AND M. RAHMAN, Basic hypergeometric series, Encycl. Math. Appl., Cambridge Univ. Press, Cambridge, 1990.
    • (1990) Encycl. Math. Appl.
    • Gasper, G.1    Rahman, M.2
  • 5
    • 0011849204 scopus 로고
    • Proof of a formula of Mr. Ramanujan
    • G. H. HARDY, Proof of a formula of Mr. Ramanujan, Mess. Math. 44 (1915), 18-21.
    • (1915) Mess. Math. , vol.44 , pp. 18-21
    • Hardy, G.H.1
  • 6
    • 0002114140 scopus 로고
    • About the growth of entire functions solutions of linear algebraic q-difference equations
    • J. P. RAMIS, About the growth of entire functions solutions of linear algebraic q-difference equations, Ann. Fac. Sci. Toulouse Math. (6), Vol. I 1 (1992), 53-94.
    • (1992) Ann. Fac. Sci. Toulouse Math. (6) , vol.1 , Issue.1 , pp. 53-94
    • Ramis, J.P.1
  • 7
    • 0005580696 scopus 로고    scopus 로고
    • Wielandt's theorem about the Γ-function
    • R. REMMERT, Wielandt's theorem about the Γ-function, Amer. Math. Monthly 103 (1996), 214-220.
    • (1996) Amer. Math. Monthly , vol.103 , pp. 214-220
    • Remmert, R.1
  • 8
    • 0032615776 scopus 로고    scopus 로고
    • La classification des systemes aux q-differences singuliers reguliers par la matrice de connexion de Birkhoff
    • J. SAULY, La classification des systemes aux q-differences singuliers reguliers par la matrice de connexion de Birkhoff, C. R. Acad. Sci., Paris, Ser. I Math. 328 No. 1 (1999), 51-56.
    • (1999) C. R. Acad. Sci., Paris, Ser. I Math. , vol.328 , Issue.1 , pp. 51-56
    • Sauly, J.1
  • 9
    • 0003192021 scopus 로고    scopus 로고
    • Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups
    • Soc. Math, de France
    • V. TARASOV AND A. VARCHENKO, Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups, Astérisque 246 (1997), Soc. Math, de France.
    • (1997) Astérisque , vol.246
    • Tarasov, V.1    Varchenko, A.2
  • 10
    • 0037568939 scopus 로고    scopus 로고
    • Développements asymptotiques q-Gevrey et séries Gq-sommables
    • Grenoble
    • C. ZHANG, Développements asymptotiques q-Gevrey et séries Gq-sommables, Ann. Inst. Fourier (Grenoble) 49-1 (1999), 227-261.
    • (1999) Ann. Inst. Fourier , vol.49 , Issue.1 , pp. 227-261
    • Zhang, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.