Apr 29, 2017 - GR] 29 Apr 2017. VARIOUS ENERGIES OF SOME SUPER INTEGRAL GROUPS. PARAMA DUTTA AND RAJAT KANTI NATH*. Abstract.
Sep 20, 2013 - RT] 20 Sep 2013 ... In [Wei64] the author gives an interpretation of the behavior of theta ... The classical results of [Wei64] are the following.
b f#x$1 0 aIa b g#x$1 . Proof. By using the local fractional integrals for mappings f,g ( Ia x 0a, b1, we have. ' ' #' % a$ b. :a b. :a. 0f#x$ f#y$1 0g#x$ g#y$1 #dy$ a.
3Dept. of Mathematics, Georgian Technical University, Tbilisi, Georgia,. Email: [email protected]. Abstract. Some direct localized boundary-domain integral ...
Gradshteyn-Ryzhik. (1994), formulas 8.211 and 8.212. (b) Recall that the class I t, 1âeât. (0,â). (ID) â¡ E was introduced in Jurek (2007), where the mapping I.
For a brief introduction to star-operations, the reader may consult [17, Sec- tions 32 and 34]. Examples of star-operations include the d-operation (Ad = A), the ...
May 23, 2009 - Charkov, 2 (1882),. 93â98. [2] R. GORENFLO AND F. MAINARDI, Fractional Calculus: Integral and Differ- ential Equations of Fractional Order, ...
A Kleinian group G is called a nr grougt if every g e G, g f l, is loxodromic, and ... A point g e BQ) is called regular if 2,, is an isomorphism, and if every non-trivial ...
Kc m+1(Dâ)/im(Kc m+1(Mâ)). Let PS denote the set of rational primes lying under ..... However, if F = Q and G is abelian, then for odd d we have equality up to ...
Keywords and phrases: covering group, isologism, Hopfian group. 1. ..... PROOF. L e t l - * f l - > - F - * G - » l b e a free presentation of the group G. By. Theorem ...
Abstract. Ramanujan recorded the values for 107 class invariants or poly- ... invariants. In this paper, we establish some connecting formulas for Gn and gn.
inant âD < 0 and are used in many applications, including the generation ... Let K be an imaginary quadratic field of discriminant d with ring of integers O = Z[θ]. ... function, we will call the value f(θ) a class invariant if f(θ) and j(θ) ge
Jul 31, 2017 - FA] 31 Jul 2017. C-class functions on some fixed point results of integral type and applications. 1. C-class functions on some fixed point results ...
The task is, given an affine domain A , to find an integral rational extension ... two types of extensions: first, through a preprocessing that enables S2, followed.
Abstract. The article deals with one class of Hammerstein nonlinear integral equa- tions with kernel depending on the sum and the difference of arguments.
integral operator using famous convolution technique. We also apply this newly defined operator for investigating some interesting mapping properties of certain.
Chiral medium is optically active, and it .... For a lossy material, these parameters are complex. ..... dispersive BI objects will be considered as the future work.
6 Euro Workshop on ADC Modelling and Testing - September 13-14, 2001 - Lisbon, Portugal th .... The theoretical conclusion that the FFT test of integral.
Sep 26, 2014 - CA] 26 Sep 2014. ON AN INTEGRAL AS AN INTERVAL FUNCTION. BRANKO SARIC. Abstract. Based on the total integrability we first define ...
Sep 26, 2014 - Based on the total integrability we first define an integral of a real ... any collection of compact intervals I of the real line R. If âF : I â R is the.
Eldredge, Stephen Jay Gould, Joel Cracraft, Montgomery Slatkin, and Elisa- ... basis, Vrba and Gould argued that species-level emergent properties, which.
Let G be a Lie group; let X be the vector field of the group G, and f a smooth ... of Ieft-invariant vector fields X, i.e., fields for which Lg(x) =X, is a Lie algebra q of ...
arXiv:math/9901136v1 [math.DG] 29 Jan 1999 ...... bols and phase functions of A and B, i. e. if ÏH1 ,H1 = Ψ(f1), ÏH2 ,H2 = Ψ(f2),. ÏH,H = Ψ(f1f2), ÏHâ ,Hâ = Ψ(f ...
