Helleborus orientalis Lam., Encycl. 3: 96 1789. (Syn: Helleborus kochii Schiffn. (unresolved); Helleborus officinalis Salisb. (Unresolved); Helleborus ponticus A.Braun (Unresolved));
Turkey (N-Anatolia, NE-Anatolia, NW-Anatolia: Bithynia), European Turkey, Northern Caucasus, Armenia, Azerbaijan, Georgia [Caucasus], USA (I) (District of Columbia (I)), Chatham Isl. (I) as per Catalogue of life;

Ranunculaceae Week: Helleborus orientalis from California:
Helleborus orientalis Lam., Encycl. 3:96. 1789
syn; Helleborus caucasicus A. Braun.
   Evergreen herbaceous to shrubby plant with leaves sharply serrate leaves with 7-9 segments; flowers cream on opening, fading to brown, up to 7 cm across. Photographed from SFO Botanical Garden in California in July 2008.
Common name: Lenten rose

I am here attaching the pictures of male and female flowers taken at Cambridge. Is my plant of the same species of Helleborus sp. or a different one? Please clarify sir.

Not male and female flowers. In the first photograph the stamens have and are falling off. You can still see a few stamens in the second flower.
    Your plant with white flowers looks different. The closest I can think is H. niger (white flowers suffused with pink, and green petals shorter than stamens), but more than one flower on peduncle is discouraging this conclusion.



Garden Plant for ID : Srinagar : 300612 : AK-1:
Pictures taken at a plant nursery in Srinagar on 10/9/11.
Any Arisaema species?
No flowers when the picture was taken.

Difficult without flowers but wild guess for Helleborus

I hope Helleborus orientalis, looking at leaf margins