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.
- 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 |