Monotonicity Properties of Interval Solutions and the Dutta–Ray Solution for Convex Interval Games

2010 ◽  
pp. 249-266
Author(s):  
Elena Yanovskaya ◽  
Rodica Branzei ◽  
Stef Tijs
Keyword(s):  
Monotonicity Properties ◽  
Interval Games

Some complete monotonicity properties for the -gamma function

2013 ◽  
Vol 219 (21) ◽  
pp. 10538-10547 ◽  
Author(s):  
V.B. Krasniqi ◽  
H.M. Srivastava ◽  
S.S. Dragomir
Keyword(s):  
Gamma Function ◽  
Complete Monotonicity ◽  
Monotonicity Properties

Monotonicity Properties of Determinants of Special Functions

2006 ◽  
Vol 26 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Mourad E.H. Ismail ◽  
Andrea Laforgia
Keyword(s):  
Special Functions ◽  
Monotonicity Properties

Higher monotonicity properties of normalized Bessel functions

2014 ◽  
Vol 12 (05) ◽  
pp. 1461007
Author(s):  
Yongping Liu
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
Positive Zero ◽  
Local Maxima ◽  
Monotonicity Properties

Denote by Jν the Bessel function of the first kind of order ν and μν,k is its kth positive zero. For ν > ½, a theorem of Lorch, Muldoon and Szegö states that the sequence [Formula: see text] is decreasing, another theorem of theirs states that the sequence [Formula: see text] has higher monotonicity properties. In the present paper, we proved that when ν > ½ the sequence [Formula: see text] has higher monotonicity properties and the properties imply those of the sequence of the local maxima of the function x-ν+1|Jν-1(x)|, x ∈ (0, ∞), i.e. the sequence [Formula: see text] has higher monotonicity properties.

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