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Volumn 68, Issue 3, 2004, Pages 230-247

Normal solutions of difference equations, Euler's functions and spirals

Author keywords

Beta function; Difference equations; Gamma function; Normal solution; Principal solution; Q gamma function; Spirals

Indexed keywords


EID: 12744272928     PISSN: 00019054     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00010-004-2765-3     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0000905932 scopus 로고
    • The q-Gamma and q-Beta Functions
    • R. ASKEY, The q-Gamma and q-Beta Functions, Applicable Anal. 8 (1978), 125-141.
    • (1978) Applicable Anal. , vol.8 , pp. 125-141
    • Askey, R.1
  • 3
    • 12744272893 scopus 로고    scopus 로고
    • A difference equation for q-gamma functions
    • M. Bartusek and O. Došlý (eds.), Brno, Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math., 13, Masaryk Univ., Brno
    • B. CHOCZEWSKI AND A. WACH-MICHALEK, A difference equation for q-gamma functions, in: M. Bartusek and O. Došlý (eds.), Colloquium on Differential and Difference Equations, CDDE 2002 (Brno), 71-75, Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math., 13, Masaryk Univ., Brno, 2003.
    • (2003) Colloquium on Differential and Difference Equations, CDDE 2002 , pp. 71-75
    • Choczewski, B.1    Wach-Michalek, A.2
  • 7
    • 1642618637 scopus 로고    scopus 로고
    • The spiral of Theodorus
    • D. GRONAU, The spiral of Theodorus, Amer. Math. Monthly 111 (2004), no. 3, 230-237.
    • (2004) Amer. Math. Monthly , vol.111 , Issue.3 , pp. 230-237
    • Gronau, D.1
  • 9
    • 1642630495 scopus 로고    scopus 로고
    • The functional equation of the square root spiral
    • T. M. Rassias (ed.), Kluwer, Dordrecht
    • K. J. HEUVERS, D. S. MOAK AND B. BOURSAW, The functional equation of the square root spiral, in: T. M. Rassias (ed.), Functional Equations and Inequalities, Kluwer, Dordrecht, 2000, 111-117.
    • (2000) Functional Equations and Inequalities , pp. 111-117
    • Heuvers, K.J.1    Moak, D.S.2    Boursaw, B.3
  • 10
    • 51249195568 scopus 로고
    • Special solutions of certain difference equations
    • F. JOHN, Special solutions of certain difference equations, Acta Math. 71 (1939), 175-189.
    • (1939) Acta Math. , vol.71 , pp. 175-189
    • John, F.1
  • 11
    • 12744262633 scopus 로고
    • Einbettungen von logΓ durch Scharen spezieller Krull- Normallösungen
    • H.-H. KAIRIES, Einbettungen von logΓ durch Scharen spezieller Krull-Normallösungen, Aequationes Math. 29 (1985), 28-35.
    • (1985) Aequationes Math. , vol.29 , pp. 28-35
    • Kairies, H.-H.1
  • 12
    • 0039617802 scopus 로고
    • Bemerkungen zur Differenzengleichung g(x + 1) - G(x) = φ(x), I. + II
    • W. KRULL, Bemerkungen zur Differenzengleichung g(x + 1) - g(x) = φ(x), I. + II., Math. Nachr. 1 (1948), 365-376 + 2 (1949), 251-262.
    • (1948) Math. Nachr. , vol.1 , pp. 365-376
    • Krull, W.1
  • 13
    • 1642630502 scopus 로고
    • W. KRULL, Bemerkungen zur Differenzengleichung g(x + 1) - g(x) = φ(x), I. + II., Math. Nachr. 1 (1948), 365-376 + 2 (1949), 251-262.
    • (1949) Math. Nachr. , vol.2 , pp. 251-262
  • 14
    • 0003223361 scopus 로고
    • Functional Equations in a Single Variable
    • PWN - Polish Scientific Publishers, Warsaw
    • M. KUCZMA, Functional Equations in a Single Variable, Monografie Matematyczne 46, PWN - Polish Scientific Publishers, Warsaw, 1968.
    • (1968) Monografie Matematyczne , vol.46
    • Kuczma, M.1
  • 16
    • 12744274347 scopus 로고
    • 15. Aufl., S. Hirzel Verlag, Stuttgart
    • H. V. MANGOLD AND K. KNOPP, Höhere Mathematik, Band 3, 15. Aufl., S. Hirzel Verlag, Stuttgart, 1990.
    • (1990) Höhere Mathematik , vol.3
    • Mangold, H.V.1    Knopp, K.2
  • 18
    • 0039033828 scopus 로고
    • The q-gamma function for q > 1
    • D. S. MOAK, The q-gamma function for q > 1, Aequationes Math. 20 (1980), 278-285.
    • (1980) Aequationes Math. , vol.20 , pp. 278-285
    • Moak, D.S.1
  • 19
    • 12744259656 scopus 로고    scopus 로고
    • Golden, √2, and π Flowers: A Spiral Story
    • M. NAYLOR, Golden, √2, and π Flowers: A Spiral Story, Math. Magazine, 75, No. 3 (2002), 163-172.
    • (2002) Math. Magazine , vol.75 , Issue.3 , pp. 163-172
    • Naylor, M.1
  • 21
    • 12744279149 scopus 로고
    • Zur Theorie der Gamma-Funktionen
    • A. PRINGSHEIM, Zur Theorie der Gamma-Funktionen, Math. Ann. 31 (1888), 455-481.
    • (1888) Math. Ann. , vol.31 , pp. 455-481
    • Pringsheim, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.