Inequalities and monotonicity for the ratio of functions.
Krasniqi, Valmir, Merovci, Faton (2010)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Krasniqi, Valmir, Merovci, Faton (2010)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Zdravko Strac (2002)
Kragujevac Journal of Mathematics
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General Mathematics
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The Journal of Nonlinear Sciences and its Applications
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Carsten Elsner, Shun Shimomura, Iekata Shiokawa (2009)
Journal de Théorie des Nombres de Bordeaux
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We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler’s formulas for values of zeta functions.
Tibor K. Pogány, Arjun K. Rathie, Shoukat Ali (2012)
Matematički Vesnik
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Sun, Yong, Kuang, Wei--Ping, Wang, Zhi--Gang (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Abramovich, S., Ivelic, S., Pecaric, J.E. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Cizmesija, A., Krulic, K., Pecaric, J.E. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Bin-Saad, M.G., Al-Gonah, A.A. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Griffiths, J., Leonenko, G., Williams, J. (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 33C10, 33-02, 60K25 This paper presents new generalizations of the modified Bessel function and its generating function. This function has important application in the transient solution of a queueing system.