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- S S Khunda, S Al-Omari
- Journal of obstetrics and gynaecology : the…
- 1998

Over the past 20 years we have encountered 13 cases of lower genital tract atresia or obstruction. There were eight cases due to a high transverse vaginal septum. These were dealt with by standard surgical reconstruction. One later recurred and required hysterectomy. Five patients presented with cervical atresia. These were successfully treated by a new… (More)

and Applied Analysis 3 Proof. Let ξ be fixed. If φ t is in S, then its diffraction Fresnel transform certainly exists. Moreover, differentiating the right-hand side of 2.3 with respect to ξ, under the integral sign, ktimes, yields a sum of polynomials, pk t ξ , say of combinations of t and ξ. That is, ∣ ∣ ∣ ∣ ∣ d dtk Fd ( φ ) ξ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ pk t ξ φ… (More)

- S. K. Q. Al-Omari, A. KJlJçman, Mustafa Bayram
- 2014

and Applied Analysis 3 Proof. It is clear that K V f and K p V g are continuous and bounded on R+. Moreover, the Fubini’s theorem allows us to interchange the order of integration: ∫ R + f (x) (K V g) (x) dx = ∫ R + (∫ R + f (x) Z p (xy) dx)g (y) dy. (15) Equation (15) follows since the Krätzel kernel Z p (xy) applies for the functions f and g, when the… (More)

- P. K. Banerji, S. K. Al-Omari
- Int. J. Math. Mathematical Sciences
- 2006

During the course of time researchers have defined ultradistributions as the duals of various types of ultradifferentiable functions of Roumieu type and of Buerling type, Roumieu type ultradifferentiable functions have been considered in the present paper. Three types of spaces of rapidly decreasing ultradifferentiable functions of Roumieu type have been… (More)

- S. K. Q. Al-Omari, A. KJlJçman, Mustafa Bayram
- 2014

and Applied Analysis 3 Theorem 3. The distributional Hartley-Hilbert transform ̂ Bf is linear. Proof. Let f, g ∈ C then their components Af,Af,Ag, Aog ∈ C. Hence, ̂ B A (f + g) (y) = ⟨A o (f + g) (x) , cos (xy)⟩ + ⟨A e (f + g) (x) , sin (xy)⟩ . (24) By factoring and rearranging components we get that ̂ B A (f + g) (y) = ̂ B A f (y) + ̂ B A g (y) . (25)… (More)

Lie symmetries and their Lie group transformations for a class of Timoshenko systems are presented. The class considered is the class of nonlinear Timoshenko systems of partial differential equations (PDEs). An optimal system of one-dimensional sub-algebras of the corresponding Lie algebra is derived. All possible invariant variables of the optimal system… (More)

- S S Khunda, S K Al-Omari, A Khunda
- Journal of obstetrics and gynaecology : the…
- 2003

In this paper, we investigate certain spaces of generalized functions for the Fourier and Fourier type integral transforms. We discuss convolution theorems and establish certain spaces of distributions for the considered integrals. The new Fourier type integral is well-defined, linear, one-to-one and continuous with respect to certain types of convergences.… (More)

Various integral transforms have been extended to various spaces of Boehmians. In this article, we discuss the Stieltjes transform in a class of Boehmians. The presented transform preserves many properties of the classical transform in the space of Boehmians.

- Shrideh Khalaf, Qasem Al-Omaria, Dumitru Baleanub, S. K. Q. Al-Omari, D. Baleanu
- 2016

The Mellin integral transform is an important tool in mathematics and is closely related to Fourier and bi-lateral Laplace transforms. In this article we aim to investigate the Mellin transform in a class of quaternions which are coordinates for rotations and orientations. We consider a set of quaternions as a set of generalized functions. Then we provide a… (More)

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