Results 81 to 90 of about 6,291 (196)

Stability and Nash implementation in matching markets with couples [PDF]

We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a "double stable" matching, i.e., a matching that is stable ...
Claus-Jochen Haake, Bettina Klaus
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Expansions of the Jacobi Theta Functions and Complete Monotonicity Properties

, 2020
In this paper we provide trigonometric expansions and innite products for the theta functions θ j (u, τ), j = 1, 2, 3, 4. This allows us to highlight some complete monotonicity properties for log θ j (u,iπt) θ j (0,iπt) , j = 2, 3, 4 and log θ 1 (u,iπt ...
Chouikha, Abd, Raouf
core  

Sharp bounds for gamma and digamma function arising from Burnside's formula

Journal of Numerical Analysis and Approximation Theory, 2010
The main aim of this paper is to improve the Burnside's formula for approximating the factorial function. We prove the complete monotonicity of a function involving the gamma function to establish new lower and upper sharp bounds for the gamma and ...
Cristinel Mortici
doaj   +2 more sources

On completely monotonic functions

Let $ f:(0,\infty)\rightarrow \Bbb{R} $ be a completely monotonic function. In this paper, we present some properties of this functions and several new classes of completely monotonic functions. We also give some special functions such that its have completely monotonic condition.
Najafi, Mostafa, Morassaei, Ali
openaire   +2 more sources

Monotonicity and Continuity of the Critical Capital Stock in the Dechert-Nishimura Model [PDF]

We show that the critical capital stock of the Dechert-Nishimura (1983) model is a decreasing and continuous function of the discount factor. We also show that the critical capital stock merges with a nonzero steady state as the discount factor decreases
Ken-Ichi Akao, Kazuo Nishimura, Takashi Kamihigashi   +2 more
core  

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

Heterogeneous Impatience in a Continuous-Time Model [PDF]

In a continuous-time economy with complete markets, we study how the heterogeneity in the individual consumers' risk tolerance and impatience affects the representative consumer's risk tolerance and impatience.
Chiaki Hara
core   +2 more sources

Solution to the monotonicity problem of an interesting class of sequences of real numbers

Journal of Inequalities and Applications
Recently we have presented some sufficient conditions so that the real sequence ( 1 + α n ) n + p $\big (1+\frac{\alpha }{n}\big )^{n+p}$ , n ∈ N $n\in {\mathbb{N}}$ , strictly increasingly converges to e α $e^{\alpha }$ , when 0 ≤ 2 p < α $0\le ...
Stevo Stević
doaj   +1 more source

A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
doaj   +1 more source

Integral Representations and Complete Monotonicity of Various Quotients of Bessel Functions

, 1977
Complete monotonicity of functions, Definition 3.1, is often proved by showing that their inverse Laplace transforms are nonnegative. There are relatively few simple functions whose inverse Laplace transforms can be expressed in terms of standard higher ...
Mourad E. H. Ismail
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