k-to-one functions
Some inequalities involving k gamma and k beta functions with applications II
... of k-special functions like the k-gamma function, the k-polygamma function, the k-beta function, the k-hypergeometric functions, solutions of k-hypergeometric ...
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Two double inequalities for k gamma and k Riemann zeta functions
... 3. Nguyen, VV, Ngo, PNN: An inequality for the gamma function. Int. Math. Forum 4(28), 1379-1382 (2009) 4. Díaz, R, Pariguan, E: On hypergeometric functions and Pochhammer k-symbol. Divulg. Mat. 15(2), ...
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11. On the Hypergeometric Matrix $k$-Functions
... matrix k-functions. Recently the researchers have worked on special k-functions (see ...hypergeometric k- differential ...F k (P, Q; R; z) is a solution of the ...
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K Bessel functions in two variables
... Bessel functions (of the first kind) defined on the space of real symmetric matrices appeared in the work of James [5] as an ingredient in the expression of some densities in multivariate ...of functions to a ...
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Some inequalities involving k gamma and k beta functions with applications
... In this section, we present some fundamental relations for k-gamma and k-beta functions introduced by the researchers [–]. The second and third section is devoted to the appli- cations of some ...
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Perturbation Analysis of “k—ω” and “k—ε” Turbulent Models. Wall Functions
... by one simple formula, but they yield to different ...for k, omega and epsilon on a wall are evaluated and all theoretical results are compared with numerical ...for k and new view into ...
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Clones of Self-Dual and Self-K-Al Functions in K-valued Logic
... of functions from clones of functions since the classes are disjoint but clones are not ...by functions and find theirs ...and k -al ...
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The partially shared values and small functions for meromorphic functions in a k punctured complex plane
... of functions which are meromorphic in a multiply-connected domain–k-punctured complex plane ...meromorphic functions in the fields of complex ...
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On bounds involving k Appell’s hypergeometric functions
... via k-Riemann-Liouville fractional integrals. Two new k-fractional integral identities are also ...new k-fractional bounds which involve k-Appell’s hypergeometric ...new k-fractional ...
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Properties of k-isotropic functions
... It is easy to see that, if U, V ∈ O n satisfy (4.7), then V > U ∈ O n λ(A) . Moreover, every matrix in O n λ(A) can be obtained in this way, that is, if W ∈ O n λ(A) and U ∈ O n satisfies (4.7), then V : = UW > ...
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The eigenvalue characterization for the constant sign Green’s functions of \((k,n-k)\) problems
... It is very well known that the validity of the method of lower and upper solutions, cou- pled with the monotone iterative techniques [, ], is equivalent to the constant sign of the Green’s function related to the ...
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On Functions of K Balanced Matroids
... K-Balanced Matroids In this section, we prove the following main result which is analogous to Theorem 1 of Erdös and Rényi [16] and to Theorem 1.1 of Kelly and Oxley [17].. Then a thresh[r] ...
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A Class of k-Log-Convex Functions and their Applications to Some Special Functions
... Before verifying Theorem 1 and Theorem 2, we would like to apply them to de- duce some known and new conclusions related to some special functions such as the gamma function, Riemann’s zeta function, complete ...
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Inequalities with applications to some k analog random variables
... gamma k-distribution via Chebyshev’s integral inequality In this section, we prove some inequalities which involve gamma k-distribution by us- ing some natural inequalities ...(asynchronous) ...
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Cell decomposition and classification of definable sets in p-optimal fields
... field K, that is an L-structure extending the ring structure of K for some language L containing the language of ...in K”. For sets and functions definable in the language of rings (with ...
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Orthogonal Rational Functions, Associated Rational Functions And Functions Of The Second Kind
... tional functions (ARFs) of order k − 1 and k in terms of ratio- nal functions of the second kind, assuming the ARFs of order k − 1 form an orthonormal system with respect to a Hermi- ...
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Algebraic (Trapdoor) One Way Functions and their Applications
... function K (which also contains a description of the input space I); PHF.Eval(K, X ) given the key K and a value X ∈ I evaluates the function H K (X) ∈ G ...
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Garbled RAM From One-Way Functions
... of one circuit into the input of ...particular, one garbled circuit will output a translation table which will encode pairs of labels for input wires of the second circuit it wants to communicate ...} ...
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Derivative Process Using Fractal Indices k Equals One Half, One Third, and One Fourth
... The study explored and analyzed the function between integral indices of deriv- ative based on the theoretical deduction of the gamma function. The above solu- tions and proofs confirmed that derivatives using fractal ...
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One-Way Functions and (Im)perfect Obfuscation
... ◦ k ◦ h(x)| k (since f is not weakly ...fix k and the other inputs are random, as ...of k, the inverter A must also invert inputs of the form Z b ◦ Z ◦ h ◦ k ◦ ...◦ k ◦ s, which ...
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