cover image: Bulletin of the Calcutta Mathematical Society  1949

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Bulletin of the Calcutta Mathematical Society 1949

1949

Let the act of ail elements thus obteined he denoted by T. The associate and the conjugate shall be governed by the property that if t is an arbitrary element of T the associate of the 164140Ciate as well as the conjugate of the conjugate of f is f itself written t** t= t t* t. (1.1) It thus follows that the property of being associate is mutual. [...] In adopting the notation for the repented use of these operations we shAll suppose that the symbols * r which we shall speak of as ouajaresaittached to an element cis written from the lett to the right in order of priority of epplieetien ; e.g a and aa* shall denote respectively the conjugate of the associate and the aseueinte of the conjugate of a. We may therefore nothae that the operetio [...] Then A has the property that it is finite and tiott the associate and the conjugate of every element of A belong to Now tieing the mime compcsition and the tame ojierntions for the formation of 'aspoeintes and conjugates. [...] In the present note 1 give (f) a new proof of the inequality to>v (it) a sisrp:ot demonstration of a result of Sulaitzenherger (1P40) and the re E„ that the video of the determinant ll t4 0 if h > v and e(rA)' if b v. The last result Is believed to be new. [...] ITaving thus disposed of a synlhetic method of constructing the common solutions of (1) and (11) we shall devote Section 11 of the paper to the determination of the generating function of the Sequence of functions (f.(s)trt I) where Us)} is an arbitrary solution of (II)."1 ADC111 AND NMAND ANTA 011ARRAI3Attri 8ECTION.11.(:NNEV.T.

technology medicine science
Pages
261
Published in
India
SARF Document ID
sarf.120023
Segment Pages Author Actions
Cover
i-i P.K. Ghosh view
Frontmatter
i-iv P.K. Ghosh view
On an Algebraic System Generated by a Single Element and its Application in Riemannian Geometry
1-13 R.N. Sen view
A Note on Balanced Incomplete Block Designs
14-16 M.C. Chakrabarti view
Note on Laguerre’s Polynomial L(z)and its Associated Equations (Functional and Differential)
17-24 Haridas Bagchi, Nalinikanta Chakrabarti view
On Generalised Legendre Polynomials
25-30 V. N. L. Srivastava view
Linearized Supersonic Flows Around a Body of Revolution
31-36 M. Ray view
Some Properties of the Skewness of Distribution of the Generators of a Ruled Surface
37-42 P.B. Bhattacharya, Ram Behari view
Some Properties of the Whittaker Transform
43-48 S.K. Bose view
Note on a Functional Equation Connected with the Weierstrassian Function (z)
49-52 Haridas Bagchi, Phatik Chatteerji view
A Note on Parameter of Distribution of a Ruled Surface through a Line of a Rectilinear Congruence
53-56 R.S. Mishra view
Corrections to my Paper on ‘Parallel Displacement and Scalar Product of Vectors—III’
56-56 R.N. Sen view
Note on a Triad of Functional Equations Connected with the Laguerre’s Polynomial Ln(z)
57-60 Haridas Bagchi, Nalini Chakrabarti view
Calcutta Mathematical Society
61-64 unknown view
On Complex Tensor Calculus
65-72 N.N. Ghosh view
Note on a Circular Cubic with a Real Inflexion at Infinity
73-81 Haridas Bagchi, Biswarup Mukherji view
On Bateman’s Function and an Allied Function
82-88 H.M. Srivastava view
Note on the Bending of Certain Thin Elastic Plates by Concentrated Loads
89-92 Sisir Das view
Some Properties of Macrobert’s E-Function
93-98 N.N. Bose view
The Diophantine Equation x2 + Y2= z1
99-100 D.H. Potts view
Spheroidal Configuration under the Law of Density
101-117 N.L. Ghosh view
A Problem in Rectilinear Congruences using Tensor Calculus
118-122 R.S. Mishra view
Homology Groups of a Ring—I
123-130 Sze-Tsen Hu view
Torsion and Flexure of a Beam whose Cross-Section is a Sector of a Circle
131-144 D.N. Mitra view
Linearized Trans-Sonic Conical Flows
145-148 M. Ray view
Test for the Convergence of a Fourier Series
149-152 S. Mahapatra view
On the Limiting Lines in Inviscid Rotational and Viscous Flows
153-171 M.Z. Krzywoblocki view
On some Relations Involving Laguerre Polynomial Ln(z)
172-176 Nalini Chakrabarti view
On an Algebraic System Generated by a Single Element and its Application in Riemannian Geometry—II
177-187 R.N. Sen view
Corrections to my Paper “on the Flexure Problem of a Limacon and some other Boundaries.”
188-188 D.N. Mitra view
Bending of Annular Elliptical Plates Loaded by Edge Moments
189-198 W.A. Nash view
Some New Properties of Generalised Laplace Transform
199-206 S.K. Bose view
On Whittaker Transform
207-212 S.K. Bose view
Union Curves and Hyper-Asymptotic Curves on the Surface of Reference of a Rectilinear Congruence
213-216 R.S. Mishra view
Convergence of Random Distribution Functions
217-226 M.N. Ghosh view
Equilibrium of Rotating Fluid-Bodies in Confocal Stratifications—I
227-241 N.L. Ghosh view
Equilibrium of Rotating Fluid-Bodies in Confocal Stratifications—II
242-248 N.L. Ghosh view
Some Formulas in Tensor Calculus
249-252 M.C. Chaki view
Stresses due to Nuclei of Thermo-Elastic Strain in a Thin Circular Plate
253-255 Bibhutibhushan Sen view

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