# Hadamard products of certain power series

Acta Arithmetica (1999)

- Volume: 91, Issue: 2, page 95-105
- ISSN: 0065-1036

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top## How to cite

topHabib Sharif. "Hadamard products of certain power series." Acta Arithmetica 91.2 (1999): 95-105. <http://eudml.org/doc/207349>.

@article{HabibSharif1999,

author = {Habib Sharif},

journal = {Acta Arithmetica},

keywords = {differentially algebraic functions; -algebraic function; Hadamard product},

language = {eng},

number = {2},

pages = {95-105},

title = {Hadamard products of certain power series},

url = {http://eudml.org/doc/207349},

volume = {91},

year = {1999},

}

TY - JOUR

AU - Habib Sharif

TI - Hadamard products of certain power series

JO - Acta Arithmetica

PY - 1999

VL - 91

IS - 2

SP - 95

EP - 105

LA - eng

KW - differentially algebraic functions; -algebraic function; Hadamard product

UR - http://eudml.org/doc/207349

ER -

## References

top- [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. Zbl47.0100.04
- [3] A. O. Gelfond, Sur les nombres qui ont des propriétés additives et multiplicatives données, Acta Arith. 13 (1967), 259-265. Zbl0155.09003
- [4] L. Lipshitz and L. Rubel, A gap theorem for power series solutions of algebraic differential equations, Amer. J. Math. 108 (1982), 1193-1214. Zbl0605.12014
- [5] M. Mendès-France and A. J. van der Poorten, Automata and the arithmetic of formal power series, Acta Arith. 46 (1986), 211-214. Zbl0599.12020
- [6] H. Sharif, Children products of formal power series, Math. Japon. 38 (1993), 319-324. Zbl0778.11016
- [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. Zbl0942.12003
- [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. Zbl0612.12018
- [10] R. P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980), 175-188. Zbl0445.05012

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