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Volumn 4, Issue 1-2, 1996, Pages 49-68

Operator expansion in the derivative and multiplication by cursive Greek chi

Author keywords

Commutation rules; Conditional convergence; Degree reducing operators; Operator expansion; Umbral calculus

Indexed keywords


EID: 3042917528     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652469608819093     Document Type: Article
Times cited : (12)

References (11)
  • 1
    • 30344460268 scopus 로고
    • Eléments de Mathématique. Livre IV: Fonctions d'une Variable Réelle, Fasc. XII, Chap. 5, Etude locale des fonctions
    • Hermann, Paris
    • N. Bourbaki, Eléments de Mathématique. Livre IV: Fonctions d'une Variable Réelle, Fasc. XII, Chap. 5, Etude locale des fonctions, Actualités Sci. Indust. No. 1132, Hermann, Paris (1951).
    • (1951) Actualités Sci. Indust. , vol.1132
    • Bourbaki, N.1
  • 3
    • 84966258596 scopus 로고
    • A new expression for umbral operators and power series inversion
    • A.M. Garsia and S.A. Joni, A new expression for umbral operators and power series inversion, Proc. Amer. Math. Soc. 64 (1977) 179-185.
    • (1977) Proc. Amer. Math. Soc. , vol.64 , pp. 179-185
    • Garsia, A.M.1    Joni, S.A.2
  • 4
    • 0039943003 scopus 로고
    • Mutual expansions of differential operators and divided difference operators
    • S.G. Kurbanov and V.M. Maksimov, Mutual expansions of differential operators and divided difference operators, Dokl. Acad. Nauk. UzSSR 4 (1986) 8-9.
    • (1986) Dokl. Acad. Nauk. UzSSR , vol.4 , pp. 8-9
    • Kurbanov, S.G.1    Maksimov, V.M.2
  • 5
    • 0005314153 scopus 로고
    • The iterated logarithmic algebra
    • D. Loeb, The iterated logarithmic algebra, Adv. Math. 86 (1991) 155-234.
    • (1991) Adv. Math. , vol.86 , pp. 155-234
    • Loeb, D.1
  • 6
    • 0011660395 scopus 로고
    • Differential operators and the theory of binomial enumeration
    • G. Markowsky, Differential operators and the theory of binomial enumeration, J. Math. Anal. Appl. 63 (1978) 145-155.
    • (1978) J. Math. Anal. Appl. , vol.63 , pp. 145-155
    • Markowsky, G.1
  • 8
    • 49549163193 scopus 로고
    • On the foundations of combinatorial theory VII. Finite operator calculus
    • G.-C. Rota, D. Kahaner and A. Odlyzko, On the foundations of combinatorial theory VII. Finite operator calculus, J. Math. Anal. Appl. 42 (1973) 684-760.
    • (1973) J. Math. Anal. Appl. , vol.42 , pp. 684-760
    • Rota, G.-C.1    Kahaner, D.2    Odlyzko, A.3
  • 9
    • 0002300455 scopus 로고
    • The umbral calculus
    • S. Roman and G.-C. Rota, The umbral calculus, Adv. Math. 27 (1978) 95-188.
    • (1978) Adv. Math. , vol.27 , pp. 95-188
    • Roman, S.1    Rota, G.-C.2
  • 11
    • 38249003587 scopus 로고
    • On Rota's problem of the explicit representation for umbral operators
    • X.-H. Sun, On Rota's problem of the explicit representation for umbral operators, Discrete Math. 120 (1993) 297-300.
    • (1993) Discrete Math. , vol.120 , pp. 297-300
    • Sun, X.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.