Identités de MacDonald
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Michel Demazure (1975/1976)
Séminaire Bourbaki
Chaudhry, M.Aslam, Qadir, Asghar (2007)
International Journal of Mathematics and Mathematical Sciences
Bhatnagar, Gaurav (2011)
The Electronic Journal of Combinatorics [electronic only]
Ahuja, O.P., Jahangiri, M. (1994)
Journal of Applied Mathematics and Stochastic Analysis
Tanguy Rivoal (2003)
Journal de théorie des nombres de Bordeaux
Nous montrons que pour tout rationnel de , l’ensemble des valeurs des polylogarithmes contient une infinité de nombres -linéairement indépendants.
Paneva-Konovska, Jordanka (2012)
Mathematica Balkanica New Series
MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and on its compact subsets are obtained. We also prove an asymptotic formula for the case of "large" values of the indices of these functions. Similar results have also been obtained by the author for the classical Bessel functions and their Wright's...
Dieter K. Ross (1980)
Aequationes mathematicae
Krasniqi, Valmir, Merovci, Faton (2010)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
Ahuja, Om P., Silverman, H. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Chen, Donghui, Berenhaut, Kenneth S. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Dragomir, S.S., Agarwal, R.P., Barnett, N.S. (2000)
Journal of Inequalities and Applications [electronic only]
Anderson, G.D., Vamanamurthy, M.K. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
Zhu, L. (2010)
Journal of Inequalities and Applications [electronic only]
Love, E.R. (1997)
Journal of Inequalities and Applications [electronic only]
Constantinescu, Eugen (2004)
General Mathematics
Qi, Feng, Debnath, Lokenath (2000)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Lee Lorch (1967)
Archivum Mathematicum
Horst Alzer, Man Kam Kwong (2022)
Czechoslovak Mathematical Journal
Let where denotes the number of positive divisors of the natural number . We present monotonicity properties of functions defined in terms of . More specifically, we prove that is strictly increasing on , while is strictly decreasing on . These results are then applied to obtain various inequalities, one of which states that the double inequality holds with the best possible constant factors and . Here, denotes Euler’s constant. This refines a result of Salem, who proved the inequalities...
Li, Xin, Chen, Chao-Ping (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Gupta, Dharma P., Muldoon, Martin E. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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