On a class of complex functional equations.
Rieppo, Jarkko (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Rieppo, Jarkko (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Dubtsov, E.S. (2009)
Sibirskij Matematicheskij Zhurnal
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Jakimczuk, Rafael (2010)
Journal of Integer Sequences [electronic only]
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Wu, Zhao-Jun, Sun, Dao-chun (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Carsten Elsner, Takao Komatsu, Iekata Shiokawa (2007)
Journal de Théorie des Nombres de Bordeaux
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We compute upper and lower bounds for the approximation of hyperbolic functions at points by rationals , such that satisfy a quadratic equation. For instance, all positive integers with solving the Pythagorean equation satisfy Conversely, for every there are infinitely many coprime integers , such that and hold simultaneously for some integer . A generalization to the approximation of for rational...
Ivić, A. (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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A. Ivić (2003)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Yoshinobu Nakai, Iekata Shiokawa (1992)
Acta Arithmetica
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Vijay Jha (1994)
Colloquium Mathematicae
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G. S. Srivastava, Sunita Rani (1992)
Annales Polonici Mathematici
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Let f(z), , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values and the iterated mean values of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).