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On Transcendence of Values of Some Generalized Lacunary Power Series with Algebraic Coefficients for Some Algebraic Arguments in p-Adic Domain II

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2008-2009

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, the theorem in Çalışkan’s [6] paper is proved by using Mahler classification in p -adic domain.
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FULL TEXT (PDF): 
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59-76
  • English

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REFERENCES

References: 

[1] Cohn, H., 1946, Note on almost algebraic numbers, Bull. Amer. Math. Soc. 52,
1042-1045.
[2] Mahler, K., 1935, Über eine Klassen-Einteilung der p -Adischen Zahlen,
Mathematica Leiden, 3, 177-185.
[3] Schneider, T., 1957, Einführung in die Transzendenten Zahlen, Springer-
Verlag, Berlin Göttingen Heidelberg.
[4] Zeren, B. M., 1980, Über einige komplexe und p -adische Lückenreihen mit
Werte aus den Mahlerschen Unterklassen m U , İstanbul Üniv. Fen Fak. Mec.
Seri A, 45, 89-130.
[5] Zeren, B. M., 1988, Über die natur der transzendenz der Werte einer art
verallgemeinerter Lückenreihen mit algebraischen Koeffizienten für
algebraische Argument, Bull. Tech. Univ. Istanbul, 41, 569-588.
[6] Çalışkan, F., 2010, On Transcendence of Values of Some Generalized Lacunary
Power Series With Algebraic Coefficients for Some Algebraic Arguments in
p-Adic Domain I, İstanbul Üniv Fen Fak. Mat. Fiz. ve Astr. Dergisi, New
Series, Vol. 3, (2008-2009), 33-58.

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