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Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk

100%

Kumar D. , Basu A.

tom Vol. 20, nr 2

119--128

In this paper we study the growth and Lδ-approximation, 1 ≤ δ ≤ ∞, of solutions (not necessarily entire) of Helmholtz-type equations. Moreover, we obtain the characterization of order and type of H ∈ HR, 0 < R < ∞, in terms of decay of approximation errors En(H,R0) and Ein,δ(H,R0), i = 1,2. Our results extend and improve the results obtained by McCoy [J. Approx. Theory 25 (1979), 153–168].

Statistical convergence on composite vector valued sequence space

100%

Basu A. , Srivastava P. D.

tom Vol. 29

75-90

In this paper, we have defined the idea of statistical convergence and statistically Cauchy sequence over the generalized class of composite vector valued sequence space F(Ek, f). The class F(Ek, f) is in-troduced and discussed by Ghosh and Srivastava [7], where F is a normal paranormed sequence space, Ek's are Banach spaces and f is a modulus function. We have established some results of Fridy, Connor and Rath and Tripathy, such as, decomposition of statistically convergent sequences, equivalence of statistical convergence and statistical Cauchy convergence and sequentially completeness of the space of bounded statistically con-vergent sequences of F [E, f].

Prevalent Cattle diseases of West Bengal: a survey in four districts

61%

Mukherjee R. , Biswas S. , Dutta S. , Chowdhury A. , Roy S. , Basu A. , Mandal D.

tom 23

West Bengal is one of the most populated states of India. The residents of the state are mostly dependent on agriculture and allied activities for their livelihood. Livestock also provide economic support and food security to them. A survey in veterinary hospitals and cattle farms of Murshidabad, Nadia, Malda and Birbhum district of West Bengal indicated the frequent occurrence of bacterial, fungal, viral and protozoan diseases in cattle. Some of these diseases like cryptosporidium diarrhoea, ringworm and salmonelliasis are zoonotic in nature and thus, are easily transmitted to human. The frequency of diseases increases during rainy season. Infection of alimentary canal and pneumonia are more common in calves whereas, arthritis is more common in male. Most of the common diseases of cattle like anthrax, rabies, foot and mouth disease, bovine tuberculosis, etc., can be prevented by proper vaccination. Some of these diseases can easily be diagnosed by modern techniques like ELISA, PCR, etc. But lack of veterinary hospitals, socio-economic backwardness and misconception have prevented easy diagnosis and treatment of these common diseases. Common antibiotic like kanamycin, antifungal drugs and antitoxins are generally applied to treat these diseases. Further, maintenance of proper hygiene, isolation of diseased animal, regular check-up and vaccination can prevent easy transmission of the diseases and thus, will put a check on livestock damage.