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SURVIVAL AND EFFICIENCY OF N2-FIXING CYANOBACTERIA IN SOIL
UNDER WATER STRESS

Research Abstract
SUMMARY: Survival of five genera of N2-fixing cyanobacteria were studied under salt and drought stress in clay and sand soil. These conditions considerably decreased the survival of the tested organisms. Nitrogenase activity was also decreased and this could be attributed to the reduced of heterocyst frequency under the experimental conditions. Apparently, Nostoc microscopicum and Rivulara natans appeared to be water stress-tolerant species and remained for long period. There is a scope for selection of cyanobacterial species more tolerant to harsh conditions to prepare commercial inoculants for Agronomic practice.
Research Authors
A. L. E. MAHMOUD, A. A. ISSA, M. H. ABD-ALLA
Research Journal
Journal of Islamic Academy of Sciences
Research Member
Research Pages
275-278
Research Rank
1
Research Vol
5:4,
Research Website
http://www.medicaljournal-ias.org/5_4/Mahmoud.pdf
Research Year
1992

Certain(m,n)-Kummer's Matrix Function of two Complex Variables under Certain Differential Operator

Research Abstract
The main aim of this paper is to define and study a new confluent hypergeometric matrix function, say, (m,n)-Kummer's matrix function of two complex variables. The radius of regularity and recurrence relation on this function is established. The effect of differential operator on this function is investigated. We study the operation of a differential operator on the Hadamard product of two (m,n)-Kummer's matrix functions. Finally, we define the composite (m,n)-Kummer's matrix functions and the effect of differential operator on this function is investigated
Research Authors
K. A. M. Sayyed, M. S. Metwally, M. T. Mohamed and A. Shehata
Research Journal
Second Annual Conference for Young Scientists Basic Science and Technology, Assiut University, Egypt, 18-19 October,
Research Rank
4
Research Year
2008

Certain(m,n)-Kummer's Matrix Function of two Complex Variables under Certain Differential Operator

Research Abstract
The main aim of this paper is to define and study a new confluent hypergeometric matrix function, say, (m,n)-Kummer's matrix function of two complex variables. The radius of regularity and recurrence relation on this function is established. The effect of differential operator on this function is investigated. We study the operation of a differential operator on the Hadamard product of two (m,n)-Kummer's matrix functions. Finally, we define the composite (m,n)-Kummer's matrix functions and the effect of differential operator on this function is investigated
Research Authors
K. A. M. Sayyed, M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Second Annual Conference for Young Scientists Basic Science and Technology, Assiut University, Egypt, 18-19 October,
Research Rank
4
Research Year
2008

Certain(m,n)-Kummer's Matrix Function of two Complex Variables under Certain Differential Operator

Research Abstract
The main aim of this paper is to define and study a new confluent hypergeometric matrix function, say, (m,n)-Kummer's matrix function of two complex variables. The radius of regularity and recurrence relation on this function is established. The effect of differential operator on this function is investigated. We study the operation of a differential operator on the Hadamard product of two (m,n)-Kummer's matrix functions. Finally, we define the composite (m,n)-Kummer's matrix functions and the effect of differential operator on this function is investigated
Research Authors
K. A. M. Sayyed, M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Second Annual Conference for Young Scientists Basic Science and Technology, Assiut University, Egypt, 18-19 October,
Research Member
Mohamed Saleh Metwlli Ali
Research Rank
4
Research Year
2008

Certain(m,n)-Kummer's Matrix Function of two Complex Variables under Certain Differential Operator

Research Abstract
The main aim of this paper is to define and study a new confluent hypergeometric matrix function, say, (m,n)-Kummer's matrix function of two complex variables. The radius of regularity and recurrence relation on this function is established. The effect of differential operator on this function is investigated. We study the operation of a differential operator on the Hadamard product of two (m,n)-Kummer's matrix functions. Finally, we define the composite (m,n)-Kummer's matrix functions and the effect of differential operator on this function is investigated
Research Authors
K. A. M. Sayyed, M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Second Annual Conference for Young Scientists Basic Science and Technology, Assiut University, Egypt, 18-19 October,
Research Member
Kamel Ahmed Mohamed Sayed
Research Rank
4
Research Year
2008

On Pseudo Hermite Matrix Polynomials of two Variables

Research Abstract
The main aim of this paper is to define a new polynomial, say, pseudo hyperbolic matrix functions, pseudo Hermite matrix polynomials and to study their properties. Some formulas related to an explicit representation, matrix recurrence relations are deduced, differential equations satisfied by them is presented, and the important role played in such a context by pseudo Hermite matrix polynomials are underlined.
Research Authors
M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Banach Journal of Mathematical Analysis
Research Pages
147--156.
Research Rank
1
Research Vol
Vol. 4
Research Website
http://www.emis.de/journals/BJMA/
Research Year
2010

On Pseudo Hermite Matrix Polynomials of two Variables

Research Abstract
The main aim of this paper is to define a new polynomial, say, pseudo hyperbolic matrix functions, pseudo Hermite matrix polynomials and to study their properties. Some formulas related to an explicit representation, matrix recurrence relations are deduced, differential equations satisfied by them is presented, and the important role played in such a context by pseudo Hermite matrix polynomials are underlined.
Research Authors
M. S. Metwally, M. T. Mohamed and A. Shehata
Research Journal
Banach Journal of Mathematical Analysis
Research Pages
147--156.
Research Rank
1
Research Vol
Vol. 4
Research Website
http://www.emis.de/journals/BJMA/
Research Year
2010

Generalizations of two-index two-variable Hermite matrix polynomials

Research Abstract
In this paper, we introduce a new generalization of the Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. An explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials are obtained. Properties of Hermite matrix polynomials such as the recurrence formula permit an efficient computations of matrix functions are established. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
Research Authors
M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Demonstratio Mathematica
Research Pages
687-701
Research Rank
1
Research Vol
Vol.42 NO.4
Research Website
http://demmath.mini.pw.edu.pl/
Research Year
2009

Generalizations of two-index two-variable Hermite matrix polynomials

Research Abstract
In this paper, we introduce a new generalization of the Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. An explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials are obtained. Properties of Hermite matrix polynomials such as the recurrence formula permit an efficient computations of matrix functions are established. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
Research Authors
M. S. Metwally, M. T. Mohamed and A. Shehata
Research Journal
Demonstratio Mathematica
Research Pages
687-701
Research Rank
1
Research Vol
Vol.42 NO.4
Research Website
http://demmath.mini.pw.edu.pl/
Research Year
2009

Generalizations of two-index two-variable Hermite matrix polynomials

Research Abstract
In this paper, we introduce a new generalization of the Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. An explicit representation and an expansion of the matrix exponential in a series of these matrix polynomials are obtained. Properties of Hermite matrix polynomials such as the recurrence formula permit an efficient computations of matrix functions are established. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite matrix polynomials is proposed.
Research Authors
M. S. Metwally, M. T. Mohamed and A. Shehata
Research Department
Research Journal
Demonstratio Mathematica
Research Member
Mohamed Saleh Metwlli Ali
Research Pages
687-701
Research Rank
1
Research Vol
Vol.42 NO.4
Research Website
http://demmath.mini.pw.edu.pl/
Research Year
2009
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