Hadamard products of certain power series

• Autorzy: Habib Sharif
• Języki publikacji: EN

Kategorie tematyczne

• 11D88: p -adic and power series fields
• 11J99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 2
• Strony: 95-105

Daty

wydano

1999

otrzymano

1998-01-07

poprawiono

1999-03-09

Twórcy

autor

Habib Sharif

• Department of Mathematics, Shiraz University, Shiraz 71454, Iran

Bibliografia

• [1] J.-P. Allouche, Somme des chiffres et transcendance, Bull. Soc. Math. France 110 (1982), 279-285.
• [2] L. E. Dickson, History of the Theory of Numbers, Vol. 1, Carnegie Institution of Washington, Washington, 1919.
• [3] A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith. 13 (1967), 259-265.
• [4] L. Lipshitz and L. Rubel, A gap theorem for power series solutions of algebraic differential equations, Amer. J. Math. 108 (1982), 1193-1214.
• [5] M. Mendès-France and A. J. van der Poorten, Automata and the arithmetic of formal power series, Acta Arith. 46 (1986), 211-214.
• [6] H. Sharif, Children products of formal power series, Math. Japon. 38 (1993), 319-324.
• [7] H. Sharif, Algebraic independence of certain formal power series, J. Sci. I.R.I. Iran 2 (1991), 50-55.
• [8] H. Sharif, E-algebraic functions over fields of positive characteristic - an analogue of differentially algebraic functions, J. Algebra 207 (1998), 355-366.
• [9] H. Sharif and C. F. Woodcock, Algebraic functions over a field of positive characteristic and Hadamard products, J. London Math. Soc. 37 (1988), 395-403.
• [10] R. P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980), 175-188.