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1

Klee's Trigonometry Problem

Journal:

American Mathematical Monthly

Year:

2003

Language:

english

File:

PDF, 460 KB

english, 2003

2

Trigonometric Identities and Functional Equations

Journal:

The Mathematical Gazette

Year:

2004

Language:

english

File:

PDF, 749 KB

english, 2004

3

A generalization of the cosine-sine functional equation on groups

J.K. Chung(J.K. Jong), Pl. Kannappan, C.T. Ng

Journal:

Linear Algebra and its Applications

Year:

1985

Language:

english

File:

PDF, 930 KB

english, 1985

4

On some functional equations from additive and non-additive measures-I

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

1980

Language:

english

File:

PDF, 226 KB

english, 1980

5

On the Functional Equation f(x + y) + f(x - y) = 2f(x)f(y)

Journal:

American Mathematical Monthly

Year:

1965

Language:

english

File:

PDF, 388 KB

english, 1965

6

On directed divergence and inaccuracy

Journal:

Probability Theory and Related Fields

Year:

1972

Language:

english

File:

PDF, 247 KB

english, 1972

7

On the system of functional equationsf(x + y) = f(x) + f(y)andf(xy) = p (x)f(y) + q(y)f(x)

S. Horinouchi, PL. Kannappan

Journal:

Aequationes Mathematicae

Year:

1970

Language:

english

File:

PDF, 85 KB

english, 1970

8

Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups

J. Aczél, J. A. Baker, D. Ž. Djoković, Pl. Kannappan, F. Radó

Journal:

Aequationes Mathematicae

Year:

1971

Language:

english

File:

PDF, 325 KB

english, 1971

9

On Shannon's entropy and a functional equation of Abel

Journal:

Periodica Mathematica Hungarica

Year:

1977

Language:

english

File:

PDF, 148 KB

english, 1977

10

On Weak Inverse Property Loops

Journal:

Journal of the London Mathematical Society

Year:

1972

Language:

english

File:

PDF, 98 KB

english, 1972

11

On Shannon's entropy, directed divergence and inaccuracy

Journal:

Probability Theory and Related Fields

Year:

1972

Language:

english

File:

PDF, 238 KB

english, 1972

12

Some relations between additive functions — I

Pl. Kannappan, S. Kurepa

Journal:

Aequationes Mathematicae

Year:

1969

Language:

english

File:

PDF, 99 KB

english, 1969

13

On trigonometric functional equations of rectangular type

J. K. Chung, Pl. Kannappan, P. K. Sahoo

Journal:

Aequationes Mathematicae

Year:

1996

Language:

english

File:

PDF, 34 KB

english, 1996

14

Some relations between additive functions, II

PL. Kannappan, S. Kurepa

Journal:

Aequationes Mathematicae

Year:

1970

Language:

english

File:

PDF, 52 KB

english, 1970

15

On the system of functional equationsf(x+y)=f(x)+f(y)andp(x)f(y)+q(y)f(x)

Sôichi Horinouchi, PL. Kannappan

Journal:

Aequationes Mathematicae

Year:

1971

Language:

english

File:

PDF, 274 KB

english, 1971

16

A functional identity characterizing polynomials

G. E. Cross, Pl. Kannappan

Journal:

Aequationes Mathematicae

Year:

1987

Language:

english

File:

PDF, 180 KB

english, 1987

17

On the Cauchy difference

K. Baron, Pl. Kannappan

Journal:

Aequationes Mathematicae

Year:

1992

Language:

english

File:

PDF, 39 KB

english, 1992

18

Some relations between additive functions — II

PL. Kannappan, S. Kurepa

Journal:

Aequationes Mathematicae

Year:

1971

Language:

english

File:

PDF, 411 KB

english, 1971

19

Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups

J. Aczél, J. A. Baker, D. Ž. Djoković, Pl. Kannappan, F. Radó

Journal:

Aequationes Mathematicae

Year:

1971

Language:

english

File:

PDF, 41 KB

english, 1971

20

On the Cauchy difference

K. Baron, Pl. Kannappan

Journal:

Aequationes Mathematicae

Year:

1993

Language:

english

File:

PDF, 279 KB

english, 1993

21

Works on functional equations IV

Pl. Kannappan, G. Diderrich, S. Aczél

Journal:

Aequationes Mathematicae

Year:

1975

Language:

english

File:

PDF, 1.62 MB

english, 1975

22

On a functional equation connected with generalized directed-divergence

Journal:

Aequationes Mathematicae

Year:

1974

Language:

english

File:

PDF, 43 KB

english, 1974

23

On a functional equation connected with generalized directed-divergence

Journal:

Aequationes Mathematicae

Year:

1974

Language:

english

File:

PDF, 245 KB

english, 1974

24

Sum form equations of multiplicative type

PL. Kannappan, P. K. Sahoo

Journal:

Acta Mathematica Hungarica

Year:

1993

Language:

english

File:

PDF, 555 KB

english, 1993

25

A mixed theory of information — IV: Inset-inaccuracy and directed divergence

Journal:

Year:

1980

Language:

english

File:

PDF, 248 KB

english, 1980

26

Addendum to my paper “On Shannon's entropy and a functional equation of Abel”

Journal:

Periodica Mathematica Hungarica

Year:

1978

Language:

english

File:

PDF, 49 KB

english, 1978

27

On directed divergence, inaccuracy and a functional equation connected with Abel, II

Journal:

Periodica Mathematica Hungarica

Year:

1980

Language:

english

File:

PDF, 253 KB

english, 1980

28

On a generalization of sum form functional equation—V

Journal:

Aequationes Mathematicae

Year:

1985

Language:

english

File:

PDF, 250 KB

english, 1985

29

A mixed theory of information — VIII: Inset measures depending upon several distributions

Pl. Kannappan, W. Sander

Journal:

Aequationes Mathematicae

Year:

1982

Language:

english

File:

PDF, 579 KB

english, 1982

30

A mixed theory of information — VIII: Inset measures depending upon several distributions

Pl. Kannappan, W. Sander

Journal:

Aequationes Mathematicae

Year:

1982

Language:

english

File:

PDF, 103 KB

english, 1982

31

On some generalized functional equations in information theory

Journal:

Aequationes Mathematicae

Year:

1979

File:

PDF, 32 KB

1979

32

On some generalized functional equations in information theory

Journal:

Aequationes Mathematicae

Year:

1980

Language:

english

File:

PDF, 372 KB

english, 1980

33

Generalized fundamental equation of information of multiplicative type

B. R. Ebanks, Pl. Kannappan, C. T. Ng

Journal:

Aequationes Mathematicae

Year:

1987

Language:

english

File:

PDF, 456 KB

english, 1987

34

An inaccuracy function of type β

P. N. Rathie, Pl. Kannappan

Journal:

Annals of the Institute of Statistical Mathematics

Year:

1973

Language:

english

File:

PDF, 320 KB

english, 1973

35

On second differences in product form

J. K. Chung, Pl. Kannappan, P. K. Sahoo

Journal:

Aequationes Mathematicae

Year:

1998

Language:

english

File:

PDF, 382 KB

english, 1998

36

Corrigendum to "On trigonometric functional equations of rectangular type" in Aequationes Math. 53 (1997), pp. 36-53

J. K. Chung, Pl. Kannappan, P. K. Sahoo

Journal:

Aequationes Mathematicae

Year:

1998

Language:

english

File:

PDF, 166 KB

english, 1998

37

On a characterization of inaccuracy

P. N. Rathie, Pl. Kannappan

Journal:

Trabajos de Estadistica Y de Investigacion Operativa

Year:

1977

Language:

english

File:

PDF, 278 KB

english, 1977

38

On a cosine functional equation for operators on the algebra of analytic functions in a domain

PL. Kannappan, N. R. Nandakumar

Journal:

Aequationes Mathematicae

Year:

2001

Language:

english

File:

PDF, 240 KB

english, 2001

39

A directed-divergence function of type β

P.N. Rathie, Pl. Kannappan

Journal:

Information and Control

Year:

1972

Language:

english

File:

PDF, 222 KB

english, 1972

40

A mixed theory of information. III. Inset entropies of degree β

J. Aczél, Pl. Kannappan

Journal:

Information and Control

Year:

1978

Language:

english

File:

PDF, 294 KB

english, 1978

41

Rotation Invariant Separable Functions are Gaussian

Kannappan, Pl., Sahoo, P. K.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1992

Language:

english

File:

PDF, 754 KB

english, 1992

42

Recursive inset entropies of multiplicative type on open domains

B. R. Ebanks, PL. Kannappan, C. T. Ng

Journal:

Aequationes Mathematicae

Year:

1988

Language:

english

File:

PDF, 1.05 MB

english, 1988

43

Rudin‚s problem on groups and a generalization of mean value theorem

Journal:

Aequationes Mathematicae

Year:

2003

Language:

english

File:

PDF, 193 KB

english, 2003

44

General two-place information functions

J. Aczél,Pl. Kannappan

Journal:

Results in Mathematics

Year:

1982

Language:

english

File:

PDF, 1.44 MB

english, 1982

45

ON ENTROPIES WITH THE SUM PROPERTY ON OPEN DOMAIN

Kannappan, Pl., Sander, Wolfgang

Journal:

Analysis (Oldenbourg Wissenschaftsverlag)

Year:

1989

Language:

english

File:

PDF, 305 KB

english, 1989

46

Characterization of Certain Groupoids and Loops

Journal:

Proceedings of the American Mathematical Society

Year:

1973

Language:

english

File:

PDF, 185 KB

english, 1973

47

The Functional Equation f(xy) + f(xy-1) = 2f(x)f(y) for Groups

Journal:

Proceedings of the American Mathematical Society

Year:

1968

Language:

english

File:

PDF, 189 KB

english, 1968

48

On Functional Equations and Measures of Information. II

PL. Kannappan and C. T. Ng

Journal:

Journal of Applied Probability

Year:

1980

Language:

english

File:

PDF, 449 KB

english, 1980

49

Measurable Solutions of Functional Equations Related to Information Theory

Pl. Kannappan and C. T. Ng

Journal:

Proceedings of the American Mathematical Society

Year:

1973

Language:

english

File:

PDF, 299 KB

english, 1973

50

The functional equation $f(xy)+f(xy\sp{-1})=2f(x)f(y)$ for groups

Journal:

Proceedings of the American Mathematical Society

Year:

1968

Language:

english

File:

PDF, 392 KB

english, 1968