Yet another characterization of the sine function.
Gervais, Robert, Rubel, Lee A. (1981)
International Journal of Mathematics and Mathematical Sciences
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Gervais, Robert, Rubel, Lee A. (1981)
International Journal of Mathematics and Mathematical Sciences
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Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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Małgorzata Downarowicz, Adam Janik (1985)
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Q. I. Rahman (1965)
Annales Polonici Mathematici
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Néjib Ben Salem, Samir Kallel (2004)
Commentationes Mathematicae Universitatis Carolinae
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In this work we consider the Dunkl operator on the complex plane, defined by We define a convolution product associated with denoted and we study the integro-differential-difference equations of the type , where is a sequence of complex numbers and is a measure over the real line. We show that many of these equations provide representations for particular classes of entire functions of exponential type.
P. K. Kamthan, P. K. Jain (1969)
Annales Polonici Mathematici
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S. K. Bajpai, S. K. Singh-Gautam, S. S. Bajpai (1980)
Annales Polonici Mathematici
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Miroslav Sova (1981)
Časopis pro pěstování matematiky
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