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A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric Functions
Raina, R.K.,Chhajed, Pramod kr. Department of Mathematics 2005 Kyungpook mathematical journal Vol.45 No.1
Making use of the multidimensional fractional calculus operators introduced in [20], this paper gives the images under these operators of the celebrated Fox's H-function. Special cases are briefly point out, and some of the results are also studied on general spaces of functions $M_{\lambda}(R_{+}^n)$.
R. K. Raina,Deepak Bansal 영남수학회 2008 East Asian mathematical journal Vol.24 No.4
In this paper we investigate integral means inequalities for the integral operators Q^μ_λ and P^μ_λ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions G_α(φ, ψ) (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.
On a generalized Ma-Minda type class of multivalent meromorphic functions
R. K. Raina,P. SHARMA 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.4
On a generalized Ma-Minda type class of multivalent meromorphic functions
On a class of meromorphic functions defined by a composition structure of two linear operators
R.K. RAINA,P. SHARMA 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.4
A new class C^m _(λ,μ) (a, c, q) of meromorphic functions is dened by a composition structure of two linear operators which extend certain linear multi-plier transformations in the unit disk. Among the results obtained in this paper are several inclusion properties for this class and for its certain other associated classes.
R. Raina,D.J. Dimitrova,N.K. Pankaj,P.K. Verma,S. Prawez 대한수의학회 2008 Journal of Veterinary Science Vol.9 No.3
We evaluated the pharmacokinetics of ciprofloxacin in serum (n = 6) and urine (n = 4) in goats following a single intravenous administration of 4 mg/kg body weight. The serum concentration-time curves of ciprofloxacin were best fitted by a two-compartment open model. The drug was detected in goat serum up to 12 h. The elimination rate constant (β) and elimination half-life (t1/2β) were 0.446 ± 0.04 h-1 and 1.630 ± 0.17 h, respectively. The apparent volume of distribution at steady state (Vdss) was 2.012 ± 0.37 l/kg and the total body clearance (ClB) was 16.27 ± 1.87 ml/min/kg. Urinary recovery of ciprofloxacin was 29.70% ± 10.34% of the administered dose within 36 h post administration. In vitro serum protein binding was 41% ± 13.10%. Thus, a single daily intravenous dose of 4 mg/kg is sufficient to maintain effective levels in serum and for 36 h in urine, allowing treatment of systemic, Gram-negative bacterial infections and urinary tract infections by most pathogens.
A Certain Subclass of Analytic Functions with Negative Coefficients and Fixed Points
RAINA, R.K...et al KYUNGPOOK UNIVERSITY 2000 Kyungpook mathematical journal Vol.40 No.1
This paper studies a new class of univalent analytic functions (defined below). A necessary and sufficient condition for a function to belong to such a class is obtained. The various results investigated include distortion theorems (involving also a certain fractional derivative operator), radius of convexity and certain other properties. Special cases of our results are also pointed out.
ON GENERALIZED WRIGHT'S HYPERGEOMETRIC FUNCTIONS AND FRACTIONAL CALCULUS OPERATORS
Raina, R.K. The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
In the present paper we first establish some basic results for a substantially more general class of functions defined below. The results include simple differentiation and fractional calculus operators(integration and differentiation of arbitrary orders) for this class of functions. These results are then invoked in determining similar properties for the generalized Wright's hypergeometric functions. Further, norm estimate of a certain class of integral operators whose kernel involves the generalized Wright's hypergeometric function, and its composition(and other related properties) with the fractional calculus operators are also investigated.
Raina, R.K.,Bansal, Deepak The Youngnam Mathematical Society Korea 2008 East Asian mathematical journal Vol.24 No.4
In this paper we investigate integral means inequalities for the integral operators $Q_{\lambda}^{\mu}$ and $P_{\lambda}^{\mu}$ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions $G{\alpha}({\phi}, {\psi})$ (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.